# Statistics

### Featured Answers

### Organizing and Summarizing Data

- What is Statistics?
- Measures of Center
- Measures of Variability
- Categorical Graphs
- Simple Quantitative Displays
- Frequency Distribution
- The Histogram
- Measuring Relative Position
- Boxplots
- Linear Transformations
- Sampling Techniques
- Observational Studies, Experiments, and Surveys
- Experimental Design
- Basic Probability Concepts
- Combinations and Permutations
- Addition Rule
- Multiplication Rule
- Conditional Probability
- Venn Diagrams and Tree Diagrams
- Two-Way Tables
- Uniform Distribution
- The Standard Normal Distribution
- Real-Life Applications of the Normal Distribution
- Assessing Normality
- Probability Distribution
- Mean and Standard Deviation of a Probability Distribution
- Law of Large Numbers
- Addition Rules for Variances
- Properties of a Binomial Experiment
- Calculating Binomial Probabilities
- Geometric Probabilities
- Sampling Distribution and Statistics
- Sampling Distribution of a Proportion
- Central Limit Theorem
- Confidence Intervals
- Hypothesis Testing
- Statistical Significance
- Type I and Type II Errors
- One-sample z test
- Two-sample z test
- z Confidence intervals for the Mean
- One-sample t test
- Matched-pair t test
- Two-sample t test
- t Confidence intervals for the Mean
- Confidence Intervals for p
- One-sample Hypothesis Test for p
- Two-sample Hypothesis Test for p
- Chi-Square Distribution
- Goodness of Fit Test
- Chi-Square Tests for Independence and Homogeneity
- Independent and Dependent Variables
- Least Squares Regression Line (LSRL)
- Residual Plots and Outliers
- Correlation and Coefficient of Determination
- Confidence Interval for the Slope
- t Test for the Slope and the Correlation Coefficient
- Prediction Intervals
- Hypothesis Testing for the Standard Deviation
- Nonlinear Transformations of Data
- Nonparametric Statistics
- Analysis of Variance
- Find the z-score such that the area under the standard normal curve to the left Is 0.59?
- Find the probability of drawing an ace or a spade from a deck of 52 cards in a single draw?
- A pharmaceutical company claims that a new drug is successful in relieving arthritic pain in 70% of patients. Suppose that the claim is correct. The drug is given to 10 patients. What is the probability that 8 or more patients experience pain relief?
- A bookshelf contains 3 Russian novels, 4 German novels and 5 Spanish novels. All the Spanish novels must be together and no constraint on the order of the others. How many ways can you arrange these books?
- What is a median?
- In 80% of cases a worker uses the bus to go to work.If he takes the bus, there is a probability of 3/4 to arrive on time.On average, 4 days out of 6 get on time at work.Today the worker did not arrive in time to work.What's the probability he taked bus?
- Find the area or probality to the right of z=0.85 shade the appropriate area and number the axis?
- If the mean time between in-flight aircraft engine shutdowns is 12500 operating hours, the 90th percentile of waiting times to the next shutdown will be?
- Median question?
- K independent file server. Each server has average "uptime" of 98%. What must k be to achieve 99.999% probability that it will be "up"?
- Standard deviation of 4,5 and 7?
- What If a set of grades on a statistics examination are approximately normally distributed with the mean of 74 and a standard deviation of 7.9? When:
- How can you prove the Poisson Distribution?
- How to do this question?
- What is the probability to have exactly 3 women? How do you do this? ( Statistics/Probability question)
- What is the probability that the next letter they draw is a letter found only in Claire's name?
- A fair five sided spinner is numbered 1,3,5,7 and 9.Katrina spins it three times.Calculate probabilty that three numbers are the same.correct answer is 1/25?i solved it by multiplying 1÷5 three times as each time it probability is 1÷5.
- A survey of few student what the drink in the morning ?
- John has 6 pencils, 3 blue pens, 5 black pens, and 2 red pens in a cup on his desk. Without looking, John pulls a writing utensil out of the cup. Enter the probability that John pulls out a pencil?
- A person has a coin, one standard deck of 52 playing cards and a six-sided number cube. How many different outcomes are possible for picking a card, flipping the coin, and rolling the number cube?
- Kevin is rolling two dice together and adding them up. Which sums should come up the most frequently?
- A fair coin is tossed 4 times. The probability of getting all four heads in a row is: a) 0 b) 1/8 = 0.125 c)1/16 = 0.0625 d) 1/2 = 0.5?
- A playing card is chosen from a standard deck of cards (which contains a total of 52 cards) what is the probability of getting a two. a seven or an ace? a) 3/52 b) 3/13 c) 1/13 d) 1
- What is the geometric mean of 5 and 15?
- Central limit theorem?
- How many ways can Aileen choose 3 pizza toppings from a menu of 19 toppings if each topping can only be chosen once?
- Which of the following is true about a dependent variable?
- What are probability two dice is rolled both less than 5?
- A bookshelf holds #24# mysteries, #12# non-fiction books, and #4# biographies. What is the probability of selecting a mystery book and then without replacing it, selecting a non-fiction book?
- How many heads are expected in 28 tosses of a fair coin?
- S With a short time remaining in the day, a FedEx driver has time to make deliveries at 6 locations among the 9 locations remaining. How many different routes are possible?
- What was the average amount of perfume in each bottle?
- Two events A and B are investigated: P(A)=0.35, P(B)=0.72, the percent chance that at least one of event A or B occur is 90%; What is the probability that only one of the events happens is =?
- If IQ scores are normally distributed with a mean of 100 and standard deviation of 15,what proportion of people will have IQ?. a.above 10?b.above 125?c.below 80?d.between 100 and 115?e.between 75 and 125?f.between 135 and 145?g.between 60 and 90? Thanks.
- Suppose a class of students have an average SAT math score of 720 and average verbal score of 640. The standard deviation for each part is 100. If possible, find the standard deviation of the composite score. If it is not possible, explain why.?
- How can you describe the spread of a data set?
- A group of 15 faculty includes Alex, Joan, and Karl. From the group of 15, three faculty members will be chosen to form a sub-committee. If the selection is random, what is the probability the selected sub-committee will consist of Alex, Joan, and Karl?
- A survey group found 82% of players in the PGA Tour Championship in GA were able to par hole 18. After the tournament was finished, 10 players were asked if they were able to par hole 18. What is the probability 8 of 10 players were asked to par hole 18?
- A pair of fair six-sided dice is thrown eight times. Find the probability that a score greater than #7# is scored no more than five times?
- Probability question?
- Sketch a figure and solve each right triangle ABC with right angle at C , given that? A = 15.8 , B = 21
- If six fair coins are tossed,what is the probability that at least one head appears?
- The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. What is the probability that a randomly selected tree in the forest has a height greater than or equal to 37 meters?
- You randomly draw a marble from a bag. You don't put it back before drawing a second marble. What kind of event is this?
- A group of friends each collects baseball cards. The average number of cards in each collection is 94. The total number of cards in all collections is 1316. How many friends are in this group?
- A pair of six-sided dice is thrown. If the dice are fair, what is the probability that the dice show doubles or a sum less than 10?
- A student calculates the geometric mean of 8 values is 10.5. After rechecking it revealed that one value 15 is missing. Find the correct geometric mean?
- A linear chain is made of 20 identical links. Each link can be made in 7 different colors. How many # physically # different chains are there?
- You are dealt a hand of three cards, one at a time. What is the probability that the first red card you get is the third card dealt?
- A card is drawn at random from well shuffled packs of 52 cards. find the probability of getting a two of heart or one of diamond?
- Average 10.Variance 25.00. sample of 30 students. Find the probability that I). less than 8.00 ? II).between 8.00 and 13.00 ?
- P(|z<1.96|)?
- 1. #p(z<2.00)+p(z<0.00)#?
- If someone is in the 21 th/st percentile in height (i.e., is taller than only 21 % of the other males in the class), let's find his height. First find the Z score?
- A card is drawn at random from a deck of 52 cards.What is the probability that the card is an 8?
- How should I make my Venn Diagram?
- If a letter is picked at random from MISSISSPPI, what is the probability that the letter is a P or an I?
- You roll two number cubes. Find the probability of the sum of the cubes being prime? (Round to 3 decimal places)
- John is taking a three question true false test what are all the possible outcomes? How many outcomes are in the sample space
- You roll two number cubes. Find the probability that the sum of the cubes is 5 or less? (Round to 3 decimal places)
- What significance does variance hold?
- What is the probability of spinning a spinner with equal sectors number 1 through 20 and getting a prime number?
- What is the probability that only one of the items is defective?
- What is the answer to this problem?
- 8 people are divided evenly into 2 groups, find the number of ways to divide them?
- Anyone knows the solution to this problem?
- Approximate percentage?
- Anyone knows how to solve it?
- May selects a marble from a jar containing 6 red marbles and 2 green marbles, and does not replace it. She then selects a second marble and does not replace it. She then selects a third marble. What is the probability that all three marbles will be red?
- In a standard deck of 52 cards, what are the odds of correctly identifying suit and number of two different cards with only 22 cards flipped over?
- Finding probability?
- What is the purpose of a scatter plot?
- The circuit below is made of 7 independent components. The chance that each component is working properly is indicated inside the box in the diagram below. .What is the probability that the system operates properly?
- Probability- In a certain population, 7% of the people have Rh-positive blood. In a sample of 6 people from this population a) What is the probability that none have Rh-positive blood? b) What is the probability that 5 or less people have Rh-positive?
- An airplane has to pass a series of 5 anti-aircraft defenses to reach its target. The probability that any one of these defenses stop the plane is 0.1. What is the probability that the plane is destroyed before it reaches the target?
- Question over probability problems?
- Given 100,000 every year, I can choose to either save it or bet it and try to make ten times it with a 20% chance of success. What are odds of doing as well as first option choosing second option every year?
- Find every way that the team can toss the coin during the week and scrimmage first only twice?
- What will be the sign of 'r' if the value of covariance is negative?'
- Probability and standard deviation?
- From a standard deck of 52 cards how many 5 hands card will have 2 queens and 3 aces? thanks 😊
- Finding net profit and probability?
- A dice is thrown 2times. What will be the probability of getting 11?
- Sarah has gone to work for 60 days. On 39 of those days, she arrive at work before 8:30 A.M. On the rest of the days she arrived after 8:30 A.M. What is the experimental probability she will arrive after 8:30 A.M. on the next day she goes to work?
- The following data are the lengths of the menstrual cycle(days) in a random sample of 15 women. 26,24,29,33,25,26,23,30,31,30,28,27,29,26,28. a. Test the hypothesis that the mean length of human menstrual cycle is equal to a lunar month. (29.5 days) ?
- A flower shop has 5 yellow roses, 3 red roses and 2 white roses. Martin chooses 3 roses at random. Draw up the probability distribution table for the number of white roses Martin chooses. Can someone please solve this question?
- A student has a probability of getting failed in physics and maths by 20% and 10%.what is the probability of that student of getting failed in one subject?
- Finding probability?
- How do you simply 5P5?
- Suppose scores in a certain school test follows a normal probability distribution, with #\mu=70# and #sigma=10#. Grade A is awarded to the highest #2.5%# students. What is the dividing point between grade A & grade B?
- What is the probability of drawing a red face card from a deck of cards?
- Find the probability and interpret the results?
- For the data set shown by the table, (Take a look at the picture). Thanks?!!
- Can anyone help?
- If the range of the set of scores is 11 and the lowest score is 19. What is the highest score? I wish you can solve this problem. Thank you so much
- A box contains 3 white and 2 blue balls. Two balls are drawn at random without replacement. Write the sample space of outcomes. Find the probability that both balls are of the same color?
- A marble is drawn at random first from a jar containing four black and four white marbles, and then from a jar containing six black and two white marbles. What is the probability of drawing two black marbles?
- A committee of 5 is to be selected from a group of 6 men and 9 women. If the selection is made randomly, what is the probability that the committee consists of 3 men and 2 women?
- How do you solve it?
- In a group of 50 persons,30 like tea,25 like coffee and 16 like both.How many like 1)either tea or coffee 2)neither tea or coffee? please represent in cardinal form of set and a venn diagram
- Use the table to calculate the probability that it is a Thursday, given that Jemma has travelled to work either by a train or a bus? The table show the relative frequencies with which Jemma uses each type of transport on her two travel day.
- Are the attendance figures at a music festival discrete or continuous?
- What is the difference between how many ways vs. how many different ways?
- The correlation coefficient of a linear fit between two variables #X# and #Y# is #-1#. I want to know, does the line containing the points for the strong negative correlation always have a slope of negative one? Thanks :)
- Suppose that IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation of 15. Using the empirical rule, what percentage of IQ scores are at least 59? Please do not round your answer.
- A card is drawn from a well shuffled pack of cards, what is the probability that is either spade or ace?
- Permutations and Combinations. What are tips and tricks for solving complicated Permutations and Combinations?
- If a gum-ball machine contains 22 red gum-balls, 46 yellow gum-balls, 14 green gum balls, and 18 orange gum-balls, what is the probability that a gum-ball chosen at random will be green?
- A card is chosen at random from a deck of 52 cards. It is then replaced and a second card is chosen. What is the probability of choosing a jack and an eight?
- A survey of 2450 adults reported that 51% watch news videos. take a sample of 100 adults. if the population proportion of adults who watch news videos is 0.51, probability that fewer than half in your sample will watch news videos?
- Question on standard deviation/variance?
- A hall has 'n' doors. Suppose that 'n' people each choose any door at random to enter the hall. a) In how many ways can this be done? b) What is the probability that at least 1 door will not be chosen by any of the people?
- Draw a bar diagram from the following imaginary data? Year 2003 2004 2005 2006 Export 63 90 105 116 Import 73 81 110 98
- How to find the values of k?
- 6 keys are to be placed on a keyring. What is the number of ways of arranging the keys if there are 3 identical locker keys and 2 identical car keys?
- How do you find the mean of 39, 4, 6, 39, 14, 35, 35, 20, 6, 40, 31, 11, and 6?
- Why does a correlation coefficient have a range from -1 to 1?
- You measure the height of each classmate and the beginning and end of the semester. You produce the same results at the end of the semester as in the beginning. What could be said about your results?
- Given the central angle of the wedge on a pie graph, how do I find the percentage?
- A fair coin is tossed 10 times. What is the probability of observing exactly 8 heads?
- For a binomial distribution with n=4 and p=0.5, what is p(r=2)?
- Find the value of x given that [x combination 4]=5[(x-2) combination 3]?
- Solving Permutations and Combinations. In how many ways can seven books be arranged on a shelf if the books are different and four particular books must be together?
- What is the value of r?
- A study of a population of 1,600 fogs revealed that 18 out of every 160 frogs in the population have sports on their back?. Based on the results of this study, how many frogs in the population do NOT have sports on their back?
- Jack rolled a regular 6 faced die three times and got 2 each time. What is the probability he will get 2 on the next roll?
- The probability of getting a white marble from a bag is 1/5. If there are 37 white marbles in the bag, what is the total number of marbles in the bag?
- What is the median for the following set of numbers? $3.27, $9.42, $6.15, $5.25, $7.62, $4.86, $2.94, $1.16
- A number cube is rolled and a coin is tossed. What is the probability of the coin landing on 5 or 6 and the coin landing on heads?
- A boy and his sister are included in a group of 8 boys and 6 girls. In how many ways can a tennis four( 2 boys and 2girls) be selected so as not to include both the boy and his sister?
- Roy has bag with 8 red marbles, 4 blue marbles, 5 green marbles and 9 yellow marbles of all same size. Of he pulls out 1 mmarble without looking, which color is the most likely to choose?
- How can we approximate the bell curve?
- How to find the probability using discrete variables?
- What is the value of Z-score given area to the left is 0.2119?
- Please help?
- A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is less than 4 and the coin toss is tails?
- 4 shoppers are asked to state their preference for 2 brands Coke or Pepsi Let A denote the event that exactly two of the four individuals will prefer Coke. List the elements in A and find P(A)=?
- On a spinner, #P(3) = 2/5# and the #P(4) = 3/8#, what is the probability of getting 3 or 4?
- Engine crankshafts for a certain car model must fall between 223.92 mm and 224.08 mm. Crankshaft are normally distributed, with a mean of 224 mm and a standard deviation of 0.03 mm. What percent of these crankshafts are likely to cause damage?
- How many arrangements can be made with the letter of the word ‘MATHEMATICS’ (i) In how many of them vowels are together? (ii) In how many of them both T do not come together
- In a series of 2n observations, half of them equal a and remaining half -a.If the standard deviation of the observations is 2,then |a| equals ?
- How to find the probability using discrete variables?
- How to find E(1/X)?
- How many different combinations of 5 numbers can be made from 50 (different) numbers?
- Four letters are picked from the word BREAKDOWN. What is the probability that there is at least one vowel among the letters?
- If you roll a die what is the probability that three will appear on top?
- A dice is rolled. What is the probability of P(odd)?
- If 2nP3=100×nP2 find n?(This is a question from permutation)
- Frequency question?
- There are 8 tiles in a box, each numbered with a different digit from 1 to 8. What is the probability of selecting 3 odd tiles and 1 even tile when four tiles are drawn one at a time with replacement?
- You take a test has 5 questions each question has 4 answers find the probability find the probability of each event? you answer all the questions correctly
- 6,3,2,0,5,4,1 mode =?
- A four digit number is formed usung the numbers 2,4,5,6 and 9, such that no digit can be used more than once. How many four digit numbers formed are even?
- A bag contains 10 coloured counters. 2 are picked at random. Probability of them both being red is 2/15. Use algebra to work out how many of the 10 counters in the are red?
- What are is the probability of picking a number less than 4 from a deck of cards?
- Help please?
- What is the probability of rolling a 12 sided die and get 8 or less?
- The mean of 8 numbers is 41 The mean of 2 of the numbers is 29 What is the mean of the other 6 numbers?
- A set o scores has a mean of 100 and a standard deviation of 20. What is the actual score if the standardized score is was 1.8?
- Help please?
- 1, 6, 8, 9, 11, 12, 14, 15find median?
- If the mean of the numbers 8,7,5,9,4,3,k+4 is6,then find the value of k?
- Determine the median of 24,23,a,a-1,12,26 where a is the mean of 5,20,15,20,25?
- A man speaks the truth 3 out of 4 times. He rolls a dice and reports that the outcome is 6. What is the probability that the number is actually 6 ?
- If a 4-digit number is formed form the digits 1, 2, 3, and 5 without repetition. Find the probability that the number is divisible by 5?
- How many combinations can be made with a 3x3x3 Rubik's cube?
- Calculate Median? C.I. 10-19,20-29,30-39,40-49,50-59,60-69 F 7,13,22,11,6,5
- In how many ways can the word ARRANGEMENTS be arranged ?
- Find the probability that an arrangement chosen at random from the word ARRANGEMENTS begins with the letter EE?
- In a school there are 8 teachers including the headmaster.In how many ways can a committee of 5 teacher can be formed without the headmaster ?
- Suppose two dices are tossed, and let E¹ be the event that the sum of the face values of two dice is 8 and E² be the event that the face values of the first die is 3. Calculate P(E¹/E²)?
- Two events A and B are such that #P(A)=4/7#, #P(AB')=1/3#, #P(A|B)=5/14#. find #P(AB)# ?
- If i choose any two number , what is the probablity that both of them would be equal?
- From a well shuffled pack of cards. Find probability they a card drawn will be either a king or queen ?
- Why the total area of the region between z=-3 and z=3 is 99.74%?
- What does typical mean in math?
- A spinner has 8 equal sections. If you spin the spinner twice, what is the probability that you will get a 8 the first time and a 6 the second time?
- Prove that sample mean is an unbiased estimate of population mean?
- How many distinct permutations can be made from the letters of the word INFINITY? How many of these permutations start with the letter N?
- What is moment generating function?
- Ali has 6 books, while Adam has 7 books. How many possible ways can they exchange 4 books with each other?
- There are n identical cards of type A, n of type B, n of type C, and n of type D. There are 4 persons that each have to receive n cards. In how many ways can we distribute the cards ?
- Can any one solve this question?
- May I know how to solve it?? Thank you
- The average price of terrace houses in the area development is MYR72,000 and the standard deviation is MYR30,000. Find the highest 10% of the price of terrace house.?
- A telephone exchange operator assumes that 9% of the phone calls are wrong numbers?
- Find x,if mean of 30,(x+4),14,35,(x+2),13,32 and 10 is 24?
- If you roll two fair six-sided dice, what is the probability that the sum is 9 or higher?
- Assume that women's heights are normally distributed with a mean given by #\mu = 64.2 in#, and a standard deviation given by #\theta = 2.2 in.# (a) If 30 woman are randomly selected, what is the probability that they have a mean height less than 65 in?
- Joint probability- mean and variance? Pl refer image attached
- How many numbers lying between 100 and 1000 can be formed, (i) if the repetition of the digits isn't allowed? (ii) if the repetition of digits is allowed?
- Find the number of words, with or without meaning, which can be made using all letters of word AGAIN. If these words are written as in a dictionary, what will be the 50th word?
- Assume that women's heights are normally distributed with a mean given by #\mu = 64.2 in#, and a standard deviation given by #\theta = 2.2 in.# (a) If 1 woman is randomly selected, what is the probability that her height is less than 65 in?
- How to solve this probability question ?
- Deck of cards combinations question?
- Quick permutations question?
- Determine how many permutations can be formed with the word COMPANY? In these permutations, how many words start with P? Show details to prove how you arrived at your answers.
- Question given below, please explain...?
- What is the linear regression line for a scatterplot formed by the points (10, 261), (21, 252), (42, 209), (33, 163), and (52, 98)?
- Logical Reasoning... All diamonds shine. Mineral X shines. Therefore, Mineral X is a diamond.? Thanks!
- Tree diagram were drawn to determine the number of possible outcomes when choosing one of 2 shirts, one of 8 ties, and one of 4 jackets, how many leaves would there be?
- You have 60 megabytes (MB) of space left on your mp3. You can choose to download song files that use 3.5 MB or video files that use 8 MB. You want to download at least 12 files. What is a graph showing the numbers of song and video files you can download?
- For what value of #lamda# the following vectors will form a basis for #E^3# #a_1 = (1,5,3) , a_2 = (4,0,lamda) , a_3 = (1,0,0) # ?
- Chi Square Test How Did they get the expected value?
- Box A contain 5 red and 3 white marbles and box B contain 2 red and 6 white marbles. If a marble is drawn from each box,what is the probability that they are both of same colour?
- What is the probability of rolling a 1 or a 4 on a number cube labeled 1 through 6?
- How many even numbers less than 500 can be formed using the digits 1,2,3,4,5? Each digit can only be used once.
- If the total area of a dartboard is 10,000 mm^2 and the area of the bull's eye is 600 mm^2 what is the probability of getting a bull's eye?
- A bag contains 12 red marbles and 8 black marbles.if two marbles are drawn from the bag at random.what is the probability that?
- Suppose A and B are independent events. If P(A|B)=0.3 and P(B)=0.45 , what is P(A^B) ?
- According to the general equation for conditional probability of p(a^b)= 4/7 and p(b)=7/8 what is p(a|b)?
- How many possible outcomes are there when flipping a coin 10 times?
- Suppose you have a 1/10 chance of winning with a scratch off lottery ticket if you buy 3 tickets, what is the probability of winning all 3?
- Find the mean and median of all composite number between 90and 100?
- How to find median and a mode of arranged and non-arranged data respectively?
- Two different dice are thrown at a time. The probability that the difference of the numbers shown on the dice is 1 is?
- If A and B are independent events then then it must be true that P(A|B)=P(B)? A. true B. false ?
- What is the probability of of getting of getting heads when flipping a coin and getting a number greater than or equal to 4 when rolling a single die?
- According to the general equation for conditional probability of p(a^b)= 3/10 and p(b)=2/5?
- What is the probability of rolling a number greater than or equal to 8 with the sum of two dice, given that at least one of the dice must show a 6?
- How many times more common is lung cancer in smokers than normal people?
- Find the mean of the following data?
- Find the AM OF following data by shortcut method ? X: 65 70 75 80 85 90 95 100 F: 6 11 03 05 04 07 10 04
- What is non normal distribution?
- 5!=? What is the probability?
- The mean three number is 8 the mean of those three numbers and x is7 find x?
- What is the probability distribution for the number of threes rolled when a single die is rolled five times?
- If the probability that John will buy a certain product is #3/5#, that Bill will buy that product is #2/3#, and that Sue will buy it is #1/4#, and if their decision to buy are independent, what is the probability that at least one of them will buy it?
- What is the correct average marks?
- How to find the probability of something occurring?
- The probability that a person plays sports is 65%. the probability that a person is between the age of 12 and 18 is 40%. the probability that a person plays sports and is between the ages of 12 and 18 is 26%. are the events independent? how do you know ?
- Consider a bag with marbles, 3 blue marbles, 2 red marbles, and 5 green marbles. two marbles are drawn in sequence. what is the probability of taking a blue marble, replacing it, and then taking another blue marble ?
- If you rolled a number cube 72 times, how many times would you expect a value less than a 5?
- What is the best way to understand a statistic or probability related question?
- The commuting time for all employees of a company has a normal distribution with a mean of 44.6 minutes and a standard deviation of 11.2 minutes. What is the probability that the mean computing time by a sample of 12 employees is between 43.26 and 49.35?
- If there are 12 black socks 11 green socks and 16 yellow socks. What is the probabilty that without looking u choose 2 certain yellow socks?
- Do you think that there is a high correlation between proficiency in mathematics and proficiency in chemistry? Explain why or why not.
- A correlation coefficient will always have a value between what two values?
- A researcher obtains #z = 2.04# for a one-sample #z# test. What is the decision for this test at a .05 level of significance?
- In a simple, random sample of 600 people, 418 prefer cheeseburgers. What is the 95% confidence interval?
- You get a regular coin and toss it two times consecutively. There are three possibilities: either you get two heads, or two tails, or one of each. What is the probability of getting one of each?
- About 90% of the applicants passes the admission test every year.How many of the 250 applicants are expected to pass the admission test this year?
- A graduate from dg University has a 75%.chance of getting a job in his/ her field of discipline what is the probability that 5 out of 7 graduates from this University of will hired in their respective field?
- The height of adults females is normally distributed with mean 160cm and standard deviation 8cm. a)Find the probability that a randomly selected adult female has a height greater than 170cm.?
- Out of 786 students surveyed, 582 of them hate smoking cigaretes. Find the confidence interval corresponding to 96% degree of confidence?
- In a normal distribution. a patient has a mean potassium level of 3.8 with a standard deviation of 0.2 a) below which level of potassium will be lowest 2.28% of measurements?
- 25% of students in a Statistics class said that they liked Statistics more than Algebra. If 3 of these students are randomly selected, what is the probability that all 3 students said that they liked Statistics more than Algebra?
- Write probability function of poisson variate X having mean as 5?
- Suppose you toss a coin 100 times and get 80 heads and 20 tails. based on these results, what is the probability that the next flip results in tails?
- The number of different ways to mark the answer to a 20 question multiple choice test with each question having 4 choices is P(20,4) ?
- Consider the following data set [92, 103, 88, 96, 109, 77, 86, 92, 95, 90, 105), what is a sample variance?
- Oh, can I finally get some help with finding percentiles please? Thanks!
- A machine is programmed to put 737g of salts in each container that passes underneath its nozzle.In order to test Hnull:#mu#=737 vs Ha:#mu#>737, a sample of 100 boxes of salt is selected.How large must the sample mean be before the Hnull can be rejected?
- A bag has 3 blue balls and 7 green balls only. One ball is chosen at random and not replaced. A second ball is then chosen at random. Find the probability that both balls chosen are the same color?
- On the average,two accidents occur everyday on a busy highway and it is known that number of accidents per day follows poison law.-find the least value of n such that the probability for n accidents on a particular day is <0.1 ( take e^-2=1/7)?
- What's the probability that the first card is a spade and the second is a spade?
- Statistics help?
- Find the mean of 3 and 4?
- What is the probability that Ana and Juan select a vowel out of the entire alphabet?
- A big birthday party ordered five different pizzas. If they are to be arranged along a buffet table, how many arrangements could there be?
- A normal distribution has a mean of 51 and a standard deviation of 4. At which interval centered at the mean do 55% of values drawn from the distribution lie?
- On the average,two accidents occur everyday on a busy highway and it is known that number of accidents per day follows poison law.Find the probability that on a certain day: -there are two accidents ?
- Find the first theoretical moment of the distribution with PDF f(x)=theta.e^-theta.x,x>=0?
- A and B are two candidates seeking admission in a college . the probability that A is selected is 0.7 and the probability that exactly one of them is selected is 0.6 .Find the probability that B is selected ?
- You roll a number cube. What are the odds of rolling a 6? What are the odds of rolling a 5 or higher?
- Conditional probability using two-way tables?
- Suppose there are 10 students in a class: 7 boys 3 girls. The teacher is selecting 2 students at one time to give stickers. A)Find the probability that she will choose all girls? B) find the probability she will choose at least one girl?
- If the r- value, or correlation coefficient, of a data set is .827, what is the coefficient of determination to three decimal places?
- How do you solve #sin(105^@)=sin(60^@+45^@)#?
- The density function of random variable x is given by,f(x)=Kx(2-x),0<x<2.find the value of K,mean and variance?
- You are dealt 5 cards from a standard and shuffled deck of playing cards. (52 cards) what is the probability that you’ll have at most three kings in your hand?
- How, in detail, do we explain this question? p(x<17)
- A continuous random variable X has the p.d.f., f (x) = 3x^2; 0 ≤ x ≤ 1. The value of a constant λ that satisfies the relation Pr {X ≤ λ} = Pr {X > λ} is ? a) (1/3)^1/2 b) (1/2)^1/3 c) (2/3)^1/2 d) (2/3)^1/3
- A bag contains 8 blue and 4 yellow balls. Two balls are taken randomly at a time from the bag. Find the probability that both balls are yellow? Without replacement: With replacement:
- Can you calculate the 95% confidence interval of the following sample?
- How do you find the Z value such that 35% of the area under the normal distribution curve lies to the right of it?
- Numbers that are palindromes read the same forward and backward, For example, 30203 is a five-digit palindrome. If a single number is chosen randomly from the set of all two-digit numbers, what is the probability that it will be palindromic?
- The probability of A hitting a target is #2/3# and that of B is #4/5#. They both fire at the target. What is the probability that at best one of them hits the target? What is the probability that only one of them will hit the target?
- How many different strings can be made from the letters in ABRACADABRA, using all the letters?
- What is the variance of the data set 49, 2, 52, 15, 25, 9, 3, 5 to the nearest hundredth?
- In an standard IQ tests, where the mean is 100 an the standard deviation is 15 a) what IQ score are 95% of people above? b) what percentage of people would score less than 90? c) what z score does a person have who scores 120?
- Compute the critical value z a/2 that responds to 96% level of confidence?
- A random sample of size 10 from a normal population have the following observations.construct 95% confidence interval for mean? The data given:65,72,71,85,73,76,67,70,74,76
- The heights of college students in a city are normally distributed with S.D. 6 cms. A sample of 1000 students has mean height 158 cms. Test the hypothesis that the mean height of college students in the city is 160 cms. ?
- How do i Find the z-score such that the area under the standard normal curve to the left is 0.28?
- What is the standard deviation of 11 15 15 22?
- How to do this regression question?
- What is the probability of rolling a number less than or equal to 8 with the sum of two dice given that at least one of the dice must show a six? A. 2/11 B. 4/11 C. 7/11 D. 9/11
- One ticket is drawn at random from a bag containing tickets numbered 1 to 40 then the probability that the sir that tickets as a number which is multiple of 5 is ?
- What is the difference between VAR.S function and VAR.P function on Microsoft Excel?
- What is the median of 1,2,4,8?
- If you have a number cube and you roll it 250 times. how many will you get a number less than 5?
- A professor finds that the scores on a History exam are known to be normally distributed with mean and standard deviation of 55 and 15, respectively. What is the passing score if 95% of the students are to clear the course?
- How many ways can you arrange the word WHITE? a. Alternate (consonants and vowel)
- How many seven-digit local telephone numbers can be formed if the first three digits are 817?
- How do I find out how many combinations I can make out of a number?
- The medical records for a class of 28 children show whether they had previously had measles or mumps. The records show 22 have had measles, 13 have had measles and mumps, and 27 have had measles or mumps. How many children had mumps?
- Am I doing this regression problem wrongly?? Please help! Thank you!
- How to calculate the probability of a Type II error?
- Two cards are randomly chosen from a standard deck of 52 playing cards without replacement. What is the probability both cards will be hearts? A. 8/663 B. 1/17 C. 3/663 D. 2/16
- Six sided die is rolled six times. What is the or probability that the die will show an even number exactly 2 times?
- In the box are 30 lottery tickets. 5 of them are happy. 7 tickets are being fetched. In how many cases, there will be 2 happy tickets?
- Find the Mean if CV=5% and SD =4?
- If you throw a dice 6 times, what's the chance that you'd get a six on: a: exactly one of the throws. b: one or more of the throws?
- In how many ways can a 4 member committee be chosen from a group of 14 people?
- 5) A ferry will safely accommodate 66 tons of passenger cars. Assume that the mean weight of a passenger car is 1.7 tons with standard deviation 0.5 tons. If a random sample of 36 cars are loaded onto the ferry, what is the probability that the maximum safe weight will be exceeded? D) 0.0668 C) 0.0548 B) 0.0384 A) 0.9452
- How to solve extended response question using probability?
- There are 4 queens in a standard deck of 52 cards. You pick a one card at random. What is the probability of not picking a queen?
- How many different committees can be formed from 11 teachers and 38 students if the committee consists of 4 teachers and 4 students?
- What percent of the scores is between 61.5 and 81?
- The probability density function of x is given as f(x) = ae^-x/5 for x > 0. The value of a is ? (a) 0·5 (b) 0·3 (c) 0·2 (d) 0·1
- At a fitness center, 64.1% take at least 1 class, 18.6% work with a trainer, 9.2% do both. If a member of the center is selected at random, what's the probability that she does neither?
- What are the steps to draw a pie chart?
- Is this asking for the confidence interval? If so, how to calculate?
- How to find the z- score that has 5.1% of the distributions area to it's right?
- What is the mode of the data 3,4,0,3,4,5 ?
- What is the line of best fit (data down below)?
- There are 88 keys on the piano, eight of which will produce a tone of C. You randomly play one key. What is the probability that it produces a C tone?
- Explain why as researcher you need to define the topic first?
- Express the confidence interval 0.49<p<0.53 in the form of p^±E?
- A researcher wishes to estimate, with 99% confidence, the population proportion of adults who think the president of their country can control the price of gasoline. Her estimate must be accurate within 5% of the true proportion.?
- How to find calculate this?
- The mode of five numbers is 1,the median is 4 and the mean is.What are the numbers?
- Find the z-scores for which 3% of the distribution's area lies between −z and z.?
- How do you find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55?
- What is class in statistics?
- H0: μ = 100 H1: μ ≠ 100 σ = 10,𝑛 = 100,𝑥̅ = 100,𝛼 = 0.05 Calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution. How?
- Find the indicated probability using the standard normal distribution. P(0<z<0.525)?
- The mean height of women in a country (ages 20−29) is 63.9 inches. A random sample of 50 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume σ=2.55
- How to apply binomial distributions on extended despise questions?
- How to find the p-value?
- What is the median of the following numbers: 15, 8, 3, 5, 6, 11?
- If the mode and the mean of a moderately symmetrical series are 16 and 20.2 respectively.Compute the value of median?
- Calculate karl pearson coefficient of correlation from the following data ?
- A certain game consists of rolling a single fair die and pays off as follows: $8 for a 6, $3 for a 5, $1 for a 4, and no payoff otherwise. what are the expected winnings for this game?
- A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100. The top 3% of students receive $500. what is the minimum score you would need to receive this award?
- If the mean number of cigarettes smoked by pregnant women is 16, and the standard deviation is 8. Find the probability that in a random sample of 100 pregnant women the mean number of cigarettes smoked will be greater than 24?
- In how many ways can a teacher arrange 4 students in the front row of a classroom with a total of 30 students?
- The grade appeal process at a university requires that a jury be structured by selecting four individuals randomly from a pool of thirteen students and ten faculty. (a) What is the probability of selecting a jury of all students? (b) What is the probabi
- Find z score the area under the standard normal curve to its left .6653 ???
- How to do this hypothesis testing question?
- What is the probability that exactly one of them is female and exactly one is a child?
- What is K ? P(-K<Z<K)=0.95
- The mode of five numbers is 1,the median is 4 and the mean is 5.what are the numbers?
- Determine how many ways 5 people can sit around a round table?
- Find out the Arithmetic mean from the following data 30 40 50 20 12 60 8?
- How to do this hypothesis testing question?
- If a club with 12 members want to elect a president, vice-president, treasurer, and secretary, how many ways could their election happen?
- The average of three numbers is 5. if the sum of the two numbers is 6 then the third number is?
- The mean temperature in July for Texas is 85 degrees. Assuming a normal distribution, what would the standard deviation have to be if 10% of days have at least 100 degrees?
- Abcdef is a six digit number where a<b<c and d>e>f, if a,b,c,d,e,f are distinct numbers then how many values can abcdef assume?
- True or false some quantitative data sets do not have a median ?
- Debbie randomly selects a card from a standard deck. What is the probability that either a heart or a Queen is selected?
- Question is about z-scores....?
- Find the mean and the median 120,60,0,30,15,0,0,and 20?
- How to do on excel ￼1)Confidence Interval (both t-test and z-test and compare the results) ? 2) Establish a 95% and 90% confidence interval for the average heights for the female and male.
- What is the probability of an incorrect conclusion?
- Suppose that four 9-sided dice are tossed. What is the probability that the sum on the four dice is greater than or equal to 6?
- What is median of 37,35,32,27,26,25,11?
- In a perfectly symmetrical distribution 50% items are above 60 and 75% items are below 75 threfore Cofficient of skewness will be respectively?
- Diameters of ball bearings produced by a company follow a normal distribution. If the mean diameter is 0.400 cm and the standard deviation is 0.001 cm, what percentage of the bearings can be used on a machine specifying a size of 0.399 ±0.0015 cm?
- Find the appropriate rejection regions for the large-sample test statistic z in these cases. I know the answers but have no idea how to get them?
- In the word PINEAPPLE, how many ways are there to arrange the letters if all 3 P’s cannot be grouped together?
- In how many ways can 5 cards be chosen from a standard deck of cards?
- Sarah has two skirts and three tops in her suitcase. One of the skirts is blue; the other is red. The tops are red, blue and white. She randomly removes one skirt and one top from the suitcase. What are all the possible combinations?
- A spinner is divided into 8 equal sections and each section contains a number form 1 to 8. What is the probability of the spinner landing on 5?
- How many different anagrams (including non nonsensical words) Can be made from the word AARDVARK?
- Michael has 4 biased coins where each of them comes up head with probability 0.6. Michael plays a game with his 3 friends. Each of them tosses the 4 coins for 5 times. The winner would be the one who gets 3 times at least 3 heads of tosses. ?
- In what kind of situation can a binomial distribution be used to solve for probability?
- Help! Is the median for quantitative data or qualitative data or both??????
- A standard deck of 52 cards holds 4 cards each of two through aces in four equal-sized suits-hearts, diamonds, clubs, and spades. If you choose a card at random, what is the probability of choosing an ace or a heart?
- What numbers have a mean of 6 and a mode of 3 ?
- The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $100. What is the z-score for an income of $2,200?
- Odds rolling 5 die once and getting "ALL" fives?
- An clinic has 5 available seats for clients. In how many ways can three clients be seated if they are to sit together?
- What is inferential statistics??
- When flipping a coin four times, what is the probability of getting four heads in a row?
- What does it mean for a property to be quantized?
- Three balls are selected from a box containing 10 balls, the order of selection is not important ,how many ways kind the balls be selected?
- A die is thrown 9000 times and a throw of 3 or 4 is considered as a success . suppose that 3240 throws of 3 or 4 have been made.do you thinkthat the die is unbiased at 5% level of singnificance?
- How many ways can you arrange the letters in the word factor? without repetition and with repetition
- The question in the picture below..?
- If 75% of the students in a class had an average test score of 82, while the remaining students in the class had an average test score of 79, what was the average test score for the entire class?
- How does this question leads to a Bias and please state the direction of the bias?
- Seven athletes participate in a 100-meter sprint event. How many possible finishes are there for the first 3 positions?
- Is the “ degree “ continuous or discrete variable?
- What if each value of the mean is squared, what happens to the mean?
- How to establish a 95% and 97.5% confidence interval for the average heights of the female and male students? How to do the same for the students population regardless of the Gender. How to compare?
- Each coefficient in equation ax^2+bx+c=0 is obtained by throwing a fair die what is the probability that equation has equal roots?
- The harmonic mean and the geometric mean of two numbers are 3.2 and 4 respectively.find their arithmetic mean and the numbers as well?
- Help me answer this question.....? (question in picture below)
- The mean and standard deviation of a sample of size 60 are found to be 145 and 40 respectively.construct 95% confidence interval for mean?
- How does an outlier affect the mean of a population?
- Is the following a probability distribution ?
- What is the probability of #X=7# successes, using the binomial formula?
- Please answer?
- In an standard IQ tests, where the mean is 100 an the standard deviation is 15 a) what IQ score are 95% of people above? b) what percentage of people would score less than 90? c) what z score does a person have who scores 120?
- What is the probability of getting a multiple of 2 and 3 on a die?
- A craft store has 25 assorted bags for $3 each. 15 of the bags contain $3 worth of merchandise, six contain $2 worth, 2 contain $5 and there's one each containing $10 and $20 worth of merchandise.Suppose you purchase 1 bag; what's your expected gain/loss?
- On Monday a museum had 150 visitors. On Tuesday, it had 260 visitor. How do estimate the percent change in the number of visitors to the museum?
- Find the z-score such that the area under the standard normal curve to the right is 0.44?
- How many 7 digit telephone numbers can be formed if each telephone number starts with 85 and no digit appears more than once?
- It is under Normal Probability Distribution Find the area under the standard normal curves if: (a) 2> - 1.75? (b) if -1 -5 ≤ 2 ≤ 1 - 5?
- A single card is drawn at random from a standard 52 card deck. Work out in its simplest form: P(Queen) and p(not queen)?
- In a box of 200 cell phones, 5 are defective and 195 are not. If two cell phones are randomly selected without replacement, what is the probability that exactly one is defective?
- 7 different numbers with a median of 87 ??? Thank you!
- The probability that a football game will go into overtime is 12%. In 200 randomly selected football games, what is the mean and the standard deviation of the number that went into overtime?
- Estimate theta by the method of moment where it's PDF is given by f(x)=theta.e^-theta.x,x>=0?
- Match the event with the most appropriate probability word?
- A single card is drawn from a standard 52 card deck. Work out the probability of choosing "a jack". Give your answer in its simplest form.?
- A bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected from the bag what is the probability that it is blue?
- Randomly drawing and immediately eating two red pieces of candy in a row from a bag that contains 15 red pieces of candy out of 41 pieces of candy total ?
- The probability of rain on any particular day is 0.2. However, the probability of rain on a day after a rainy day is 0.85, whereas the probability of rain on a day after a non-rainy day is 0.1 . Question in details (below)?
- An urn contain 10 red, 5 white &5 black balls,two balls are drawn at random.find the probability that they are not of the same colour ?
- 2 companies, A and B, drill wells in a rural area. Company A charges a flat fee of RM3500 to drill a well regardless of its depth. Company B charges RM1000 plus RM12 per foot to drill a well. ?
- One card is selected at random from a deck of cards. What is the probability that the card selected is a spade or a queen?
- You draw a single card from a standard deck of 52 cards. What is the probability that it is not a jack?
- How many positive numbers can be made from the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 so that they are smaller than 800? The digits can repeat.
- How many different words containing all the letters of the word TRIANGLE can be formed so that the vowels occupy odd places?
- The probability of a particular event is 6/8. What is the probability that the event will not happen? Explain.
- Average of 10,30,4?
- Two cards are randomly drawn from a standard of 52-playing cards without replacement. What is the probability of drawing a 2 followed by a 5?
- What is the range of the following numbers: 345,893,21,984,23,99 and 246?
- A fair 6-sided die is rolled three times. Find the probability that the sum of the three dice is 4 ?
- How do you find the Z value such that 75% of the area under the normal distribution curve lies to the right of it?
- Three cards are randomly drawn from a standard deck of 52-playing cards without replacement. What is the probability of drawing three queens?
- A coin and a die are thrown.what is the probability that the coin shows head?
- What is the mean of 33?
- Can't get these 3 questions right please help?
- What is the mean of 2,3,4,5,1?
- A box contains red pens and blue pens. The probability that a pen picked at random from the box is red is 2 over 7 (As a fraction)?
- Studying for a simple Stats test. What does P mean and how do I solve this for a z-score. P(z<1.37). My table in our book is different?
- How to solve extended response questions using discrete probability?
- Researchers went to the preserve and marked 56 lizards. A few weeks later, they returned to the preserve and counted 330 lizards, of which 24 were marked. To the nearest whole number, what is the best estimate for the lizard population?
- A computer takes tokens for 10 minutes and for 30 minutes, 30% of the tokens used are for ten minutes. The tokens cost £1 for 10 minutes and £2 for 30 minutes. What is the mean for the amount of time per token?
- If Andrew gets 73 on his next algebra test, his average will be 87. If he gets 97, his average will be 90. How many tests has Andrew already taken?
- Is this continuous or discrete data?
- A six sided dice is rolled 180 times, what r the chances of it being a even number?
- Determine the two z-scores that divide the area under the standard normal curve into a middle 0.66 area and two outside 0.17 areas?
- Trent told his friends it would take him 90 minutes to mow the lawn. It only took him 75 minutes. What is his percent error?
- You roll a pair of dice. What is the probability of rolling a 2 or rolling a 3?
- Jim knows that the answer "#B#" is definitely wrong. Should he answer the question by wild-guessing or leave it blank? Can show step clearly plz?
- What is the probability of at least one boy in a family of three boys? (a)#7/8# (b)#1/8# (c)#4/8# (d)#6/8#
- A combination lock will open when you select the right choice of three numbers. How many possible lock combinations are there, assuming you can choose any number from 0 and 35? a) Assume the numbers must be distinct. b) Assume they may be the same.
- If 5 persons weave 180 shawls in 12 days, how many shawls will 6 persons weave in 15 days? (A) 260 (B) 370 (C) 270 (D) 360
- A coin is flipped 15 times what is probability that you will get 10 heads?
- In a group of zebras, there are twice as many females as males. 10 more females and 10 more males are added to the group. How does this affect the probability of selecting a male zebra at random from th e new group?(multiple choice
- How to answer these questions ?
- How could you find the number of different way to arrange 4 students in a row for a photo?
- In a game of chance, six cards numbered 1 to 6 are lying face down on a table. To cards are selected without replacement and the sum of both numbers is noted. Find the probability that the total sum is at least 10?
- Geometric probability help?
- What is the probability that out of 52 cards that the card you pick would be a five?
- A number cube is labeled 1 through 6 and it is rolled 3 times. What is the probability that the first roll is a 1, the second roll is a 2, and the third roll is greater than 4?
- A football team consisting of 5 boys and 6 girls will be formed from a group of 6 boys and 8 girls. Find how many different teams can be formed from the group?
- How many 2 digit combinations are there using 8 numbers with repeat numbers?
- How do you find #S_e# on a graphing calculator?
- Can average be negative ?
- Imagine that you write each letter of the word # IMAGINE# on individual cards. You shuffle them, turn them face down on a table, and turn over the top card. What is the probability of turning over an #A#?
- What is the probability of getting 5 while rolling two dies at the same time? thanks
- What are outliers??
- There are 14 qualified applicants for 3 graduate teaching assistantships positions.how many different groups can be selected?
- Cory is told that when Jennifer gets her chores done, then she will usually go to the mall. He also knows that Jennifer usually gets her chores done by 5 pm. Cory reasons that Jennifer will usually go to the mall by 5 pm. Deductive or Invalid?
- A bag contains 4 blue marbles, 6 red marbles, 8 green marbles and 2 yellow marbles. Marbles are taken at random from the bag, one at a time, and then replaced. How do I find each probability? P(blue, then green) P(red, then red) P(yellow, then not green)
- In how many ways can letters of the word STATISTICALLY be arranged in a sequence?
- (a) How many three-digits numbers can be performed from the digits 0, 1, 2, 3, 4, and 5 if each digit can be used only once? (b) How many of these are odd numbers? (c) How many are greater than 330?
- A process for making plate glass produces small bubbles (imperfections) scattered at random in the glass, at an average rate of 4 small bubbles per #10m^2#. Consider glass pieces with dimensions 2.5m x 2.0m.?
- There are 5 children (two boys and 3 girls), how many different ways can they line up? explain please
- In how many ways can 10 couples stand in a movie theater line if the couples stay together?
- Professor Samuels conducted a correlational study and expected there to be a strong correlation between his variables. The results showed an r value of -.90. Based on this information, he was _____________ because ____________.?
- Which of the following measures of spread would be best to use if there is an outlier in the data?
- A multiple-choice test has 30 questions each with 5 responses, one of which is correct. Each correct answer is worth 1 point and the lowest passing grade is 20 points. Find the probability passing by random guessing.?
- The probability distribution function of a discrete variable X is given by: P(X=r) = kr, r=1,2,3,...,n, where k is a constant. Show that #k=2/(n(n+1))# ?
- If 4 dice are rolled, what is the probability that all 4 rolls are different?
- A 52 card deck of playing cards is shuffled, and one card is dealt from the top of the deck. What is the probability that it will be a Queen?
- A coin is tossed 12 times what is the probability of having exactly 6 tails overall?
- Both negative -5 and -15 what is the mean?
- What is the dependent variable for the situation---- The length of your hair vs. the amount of time since your last hair cut?
- A sample space S consists of five simple events with these probabilities?
- Pairs of random numbers (x,y) are generated where the variables X and Y are integers between 0 to 5 inclusive. (i) How many different pairs are possible?
- How to determine probability?
- Sean and Hana are going to bring 8 books with them. Sean has 16 books to choose from, and Hana has 24 books to choose from. If Hana and Sean each pick 4 out of 40 books, and some of them were duplicates, how would you calculate the probability of this?
- Myrtle shipping 8 packages that had a combined weight if 9 pounds. What was the average weight of each package?
- How many distinguishable arrangement of the letter AAABCDE are there?
- You do an experiment to find out how much the light is needed to make house plants grow taller the two variable in this experiment are amount of light and height of the plants witch variable is dependent variable and witch is independent variable ?
- How to find the inverse, converse and contrapositive of a statement?
- How do I find the Z scores for which 92% of the distributions area lies between negative Z and Z?
- Let a + b + c + d = 9 look at all ordered quadruples of solutions with non-negative integer. What does P (a = 2)?
- A store sells apples, bananas, oranges, I want 4 pieces of fruits, how many ways can this be done? Can someone give me a detailed solution?
- Four identical apples and four identical pears are arranged in a line. How many ways can this be done?
- The following statements are made: * Some Lawyers are fools. * Some fools are poor. Which of the below statements are true?
- Given there are 6 boys and 2 girls arranged in a row, what is the probability there are at least 3 boys separating the 2 girls?
- From a pack of 9 cards numbered 1,2,3.......9 , three cards are drawn at random and laid on a table from left to right. What is the probability that the digits are drawn in descending order (by just using permutation)?
- A die is rolled 300 times. Predict how many times you would expect to roll the number 5?
- Are age-structure diagrams useful in predicting future population trends?
- A card is selected from a standard deck of 52 playing cards.Find the probability that the card is a diamond or not a king?
- In a survey 21 people like product A,26 like B and like C.If14 people like A and B ,12 people like C and A,14 people B and C and 8 like all.Find how many like prdct C only.?
- A group consists of four juniors and five seniors. Four students are chosen to participate in a local scavenger hunt. What's the probability that the selected group will consist of all seniors?
- 2,3,4,5,0,1,3,3,4,3 find the mode of the data?
- We wish to select 6 persons from 8, but if the person A is chosen ,then B mist be chosen.In how many ways can the selection be made?
- The mean weight of a group of 6 students is 62 kg. Another student whose weight is 52 kg is to be included in the group. The mean weight of the 7 students will approximately be?
- Box plot question?
- There are six friends in a book club and each of them gives their book to one friend and receives a book from another friend. How many different ways can the books be exchanged, assuming that no two friends can exchange (give and receive) books?
- Your history exam requires you to do 8 of the 12 questions presented. How many different sets of problems could your instructor have to grade?
- A child has three plastic toys bearing the digits 3,3,5 respectively.How many 3-digit numbers can he make using them? Please solve this question without using the formula of permutations of objects not all different which is given by n!/P!×q!.
- If the mean, actual observed values, and standard deviation are multiplied by #2#, does the z-score stay the same?
- A bag contain 8blue balls and 5 black balls .2successive draws of 3 balls are made without replacement. Find the probability that the first drawing will give 3 black balls and the second 3 blue balls ?
- Two dice are thrown. Event #A# is "the sum of two dice is #7#" and Event #B# is "at least one die is #6#". Are #A# and #B# independent?
- In a bag containing marbles there are 5 red 8 white 3 blue and 9 green if Tom picks a marble without looking what is the probability that it will be a green one ?
- A lottery claims that 10% of tickets win a prize. How many tickets should you purchase to be more than 50% sure of winning a prize?
- Find the probability of at least three successes in six trials of a binomial experiment in which the probability of success is 50%?
- If there are 6 periods on each working day of a school,in how many ways can one arrange 5 subjects such that each subject is allowed at least one period?
- Five letters F,K,R,T and V one in each were purchased from a plastic warehouse.How many ordered pairs of letters, to be used as initials ,can be formed from them?
- A scientific hypothesis must be ___________________?
- How would you apply the scientific method to the question, “Which type of shampoo, Shampoo A or Shampoo B, makes my hair look shinier?”
- What's the average of four days if the temperature were -12.1 -7.8-14.3-7.2 degrees below 0?
- The factors that change in an experiment are called?
- If a coin tossed 50 times then the number of heads ?
- There are three questions, and three choices of answer (A, B and C) for each question. If only one of the possible choices (A, B or C) is correct for each question, what is the probability of getting one answer correct?
- Mutually exclusive vs mutually exhaustive?
- Can someone help me with percentiles please?
- The mean of 3, 3, 7, 8, 10, x and x is 7. Find x.?
- Firm is grading new employees and want to know the performance of each. The mean and standard deviation of the test scores are 84 and 3 respectively and the distribution is bell shaped. Using empirical rule, what percentage of test scored better than 78?
- At the Avonlea Country Club, 68% of the members play bridge and swim, and 85% play bridge. If a member is selected at random, what is probability that the member swims and plays bridge?
- What is the probability of rolling a 7 or an 11 in the game of craps? Thank you
- A pizza shop offers ten different pizza toppings. Beth chooses two toppings for her pizza. How many different possible choices could she make?
- The mean of a set of data is 4.11 and its standard deviation is 3.03. What is the z-score for a value of 10.86?
- For these numbers: #2,2,0,5,1,4,1,3,0,0,1,4,4,0,1,4,3,4,2#, what is the (a) mean, (b) median, (c) variance and (d) standard deviation?
- A bag contain 3 red 5 blue and 2 green marbles. The marbles are drawn twice with replacement. Find each pribability? Both red Botj blue Botj green Red then blue Blue then red
- 5.) e The owner of a comedy club has based business decisions on the average age of customers historically being 30 years. A random sample of customer ages is shown below. Based on this sample, is the average age more than 30 years? Use a 5% level of significance. Assume that the distribution of ages is normal. Interpret your answer. 37 30 26 35 45 42 51 40 43 27 39 38 46 21 28 20 Find the sample mean and sample standard deviation. (Find x and s. Use your calculator or excel.)
- James has played 4 games of football this season. He has scored the following number of goals: 1 8 5 2 His mean is 4 goals per game. After he played the fifth game, his mean number of goals is still 4. How many goals he score in fifth game?
- The following represent the distance, in miles, that eight employees of a firm must travel each way from home. calculate the standard deviation of the numbers of miles driven. 2.2, 10.7, 5.4, 16.3, 12.1, 1.8, 2.6?
- 30% of the 20 people in the Math Club have blonde hair. If 3 people are selected at random from the club, what is the probability that none have blonde hair?
- What are the boundaries, midpoint, and width of 125-131?
- Standard Deviation Help?
- Help with stem and leaf plot? See attached picture
- What percent of cases fall between -3.00 and -0.50 on the standard normal distribution? How do I calculate it?
- What is the mean of 11, 12, 12, 13, 12?
- Write three different numbers which has a mean of 7. Write down a set of four different numbers that have a median of 12?
- Use the range approximation to estimate the value of s for this set?
- Which of these correlation numbers shows the strongest relationship?
- The scenario may be considered which of the following?
- Steam and Leaf Plot Keep Getting the Wrong Answer See Attached pic?
- The number of way in which a examiner can assign 30 marks to 8 questions given not less than 2 marks to any question is?
- Can I get some help please? thanks!
- True or False: When comparing two populations, the larger the standard deviation, the more dispersion the distribution has, provided that the variable of interest from the two populations has the same unit of measure?
- Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard deviation 20. Find the probability that a randomly selected adult has an IQ between 85 and 125?
- A bag contains 8 blue marbles, 6 red marbles and 4 green marbles. What is the probability of selecting a red marble,then replacing it in the bag and then selecting a green marble?
- Two urn contains white balls and yellow balls. The first urn contains 3 white balls and 6 yellow balls and the secong urn contains 3 white balls and 8 yellow balls. A ball is drawn at random from each urn.What is the probability that both balls are white?
- What is the range of 56 and -35?
- In how many ways can 2 men and 3 women sit on a straight line if the men must sit on the ends ?
- People with z-scores above 2.5 on an IQ test are sometimes classified as geniuses. If IQ scores have a mean of 100 and a standard deviation of 16 points, what IQ score do you need to be considered a genius?
- Silvia's test scores are 86, 78, and 92. What must she score on her fourth test in order to have an average 85 for all four tests?
- A bag has 16 blue marbles and 4 yellow marbles. Half of the yellow marbles are made of glass. A marble is selected at random from the bag. What is the probability that it is a yellow, glass marble?
- Write and solve an equation to find the value of the variable? 104,137,154,131,x; mean=130
- When measuring a heights of group,class boundarie given in 5cm interval as 150-155,156-160 and so on.if measurements are made to the nearest 0.2cm the limits would be 150.9-155.9. How could this happend ?
- Probability and statistics question?
- A study shows that 57% of the schools graduates find a job in their chosen field within a year after graduation. What is the probability that among 9 randomly selected graduates, at least 1 finds a job in his field within 1 year of graduation?
- If two dice are rolled one time, what is the probability of getting a sum of 9?
- Suppose you choose a marble from a bag containing 3 red marbles, 5 white marbles, and 4 blue marbles. You return the first marble to the bag and then choose again. What is the probability that you will pick a red marble and then a blue marble?
- Three lottery tickets for first, second, and third prizes are drawn from a group of 40 tickets. Find the number of sample points in S for awarding the 3 prizes if each contestant holds only 1 ticket??
- A bunch of balloons contain many different colors: 25 yellows, 18 purples, 1 white and 1 blue. What is the probability that a randomly selected balloon will be purple?
- What is the median of following data? 13,6,8,11,5,10,16,15,3
- True or false? 7) In clinical trials the control group of patients may receive a placebo instead of actual medicine 8) While performing an experiment, the scientist should manipulate with only one parameter, while other parameters must be kept c
- True or false? 1) Scientific hypothesis precedes the question 2) Hypothesis is an idea, which is aimed to answer the question 3) The hypothesis should be tested in manipulative experiments or observational studies
- The number of permutations of 1,2,3,4,5,6 such that pattern 12,23,34,45,56 do not appear in the permutation is ?
- True or false? 4) Prediction is projection of the results of the specific experiment 5) Observational studies – planned observations, which are carried out systematically 6) Sometimes, scientific experiments are performed without control group
- 10 people are being honored for their work in reducing pollution. In how many ways can these people line up for a picture?
- In the library, there are 'm' different books of mathematics and 'n' different books of natural science. They can be placed on a shelf in 1209600 ways so that books of the same subject are not separated. If m>n, then m=?
- #P=(C_2^1*C_4^2*C_6^3*...*C_2014^1007)/(C_1^1*C_3^2*C_5^3*...*C_2013^1007)# What is the value of P?
- In how many ways can a vowel constant and a digits be chosen out of 26 letters of the engliah alphabet and the 10 digits?
- The median of 1,3,7,5,x is 4.what is x?
- Words are formed by arranging the letters of the word "STRANGE" in all possible manner. Let 'm' be the number of words in which vowels do not come together and 'n' be the number of words in which vowels come together then the ratio m:n is?
- Two number cubes are rolled. Find the probability of rolling a sum that is greater than 1?
- What is the probability of getting 2 tails in tossing 2 coins together?
- Anyone knows how to do 14?
- How many arrangements can be made with the letters of the word 'MATHEMATIC'? In how many of them will vowels be together?
- What is the variable that might change because of what the scientist changes? It is often what is being measured?
- Stats help?
- What is the probability that a 7-digit number is generated using the digits 2,3,2,5,2,7, and 3 is the number 222-3357?
- Given 1,2,3,4,5 the standard deviation is root 2, but how would add another number, x, to the list and keep the standard deviation? So what is x in list {1,2,3,4,5,x} if standard deviation = root 2?
- A(n) __________ should have only one independent variable. what is the answer?
- How many teams can you make from 131 people if there are 7 people in a team?
- What's the mean median and mode for #4/3," " 3 and 2#?
- A committee consist of 7 women and 4 men. If a member of the committee is chosen at random to act as chairperson, what is the probability that the choice is a woman?
- What is Descriptive statistics in an easy way? . . Thank you
- The mean is 66 inches. The numbers are 70,62,67, and x. What is x?
- WHAT is the mean for 0, 5, 4, 8, 0, 7??
- From where can I learn sequences, series, permutations and combinations?
- Consider two new events C and D. All that is known is that the events C and D are disjoint; and P(C) > 0 and P(D) > 0. Are they independent? Give your reasoning.
- How many different ways can you arrange strike?
- Human proofreaders catch 70% of word errors. You ask a fellow student to proofread an essay where you deliberately made 10 work errors. If the student matches the 70% rate what is the distribution of the number of errors caught and missed?
- The weights in kg of 10 students are given below: 39, 43, 36, 38, 46, 51, 33, 44, 44, 43 Find the mode of this data?
- Suppose I toss a coin 100 times and get 87 heads and 13 tails based on these results what is the probability that the next flip results in a tail?
- A card is drawn at a random from a well shuffled pack of 52 playing cards . find the probability of getting (1) neither a red card nor a queen. (2) a red face card. (3)an ace or a jack.?
- Please explain the difference between continuous and discrete data? Also, can you please explain to me if ranking (such as ranking television show ratings from 1-4 of ranks) is a continuous or discrete data? Thanks!
- How many permutations can be made out of the letters of the word "TRIANGLE"?
- Find mode 1, 7, 2, 4, 5, 9, 8, 3 ?
- How do you find the mean of 25,31,31,20,30,26,32,31,35 ?
- How can 6 girls be seated round a table?
- In how many ways can 6 students and their class teacher be arranged in a row if the class teacher must be at one end or the other?
- How do you solve this?
- How do you find the mean of the data set: 8, 10, 46, 37, 20, 8, 11?
- Can someone help me with this?
- Find number of poker hands that void in atleast one suit.? (combinations)
- The mean, the median and the mode of four numbers are 54, 56 and 60 respectively. Find the mean of the largest and the smallest numbers. How do I do this?
- What the interquartile range of the data set of numbers that consists of 10,8,6,6,5,2,12,16,10,4 ? Thank you
- Use the given information to find the minimum sample size required to estimate an unknown population mean #\mu#?
- You reach into a bag of coins and withdraw two coins. What is the probability you a nickel and then a dime if the bag held five pennies, ten nickels, and four dimes?
- The names of six girls and nine boys from your class are put into a hat. What is the probability that the first two names chosen will be both girls?
- Find standard deviation of 1,2,3,4,5?
- Determine the two z-scores that divide the area under the standard normal curve into a middle 0.874 area and two outside 0.063 areas? A) -1.46, 1.46 B) -1.53, 1.53 C) -1.39, 1.39 D) -1.45, 145 Please explain your reasoning behind the answer. Thank you!
- Obtain the shaded area under the standard normal curve. Can anyone please explain to me their answer this question? Thanks! A) 0.0104 B) 0.9896 C) 0.9792 D) 0.0208
- How to do this problem?
- A box contains only black and white chips There are 8 black chips and 6 white chips How many white chips must be removed so that the possibility if random picking a black chip becomes 2/3?
- Can someone answer this multiple choice problem and tell why did you choose it?
- Can someone check my answer on ordering probabilities please?
- Which statement below describes the probability that a student chosen at random prefers blue or orange?
- In Mr.R class the ratio of the number girls to the number of boys is 3:2 A student is selected at random from the class The probability that the selected student is a boy? (The answer choices are fractions)
- The mean of a list of 7 numbers is 45. If I add 2 numbers to the list, the mean of the list becomes 37. What is the mean of the two numbers that I added to the list?
- How do you solve this?
- Leanna guesses on four multiple choice test questions in a row. If each question has 3 possible answers, what is the probability that Leanna will guess the answer to the 4th question correctly?
- Calculate the P(x<5.83) Using normal distribution ?
- A quiz has 1 true-false question and 2 multiple choice questions that each have 4 answers. What is the probability that someone guessing all 3 answers will get 100% on the quiz?
- What is the standard deviation of the data set #11, 5, 12, 8, 5, 12, 10# rounded to the nearest tenth?
- Based on recent results, scores on the SAT test are normally distributed with a mean of 1652 and a standard deviation of 212. What is the probability that a randomly selected student has a SAT score greater than 1750?
- A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. Working together they can do it in how many days?
- 1.What is x if the mean of the numbers 4,5,x,8,9 and 3 is 6? 2.what is the median if the mean of 10,8,7,12,x,6,10 and 4 is 8?
- ⁿ⁺¹c₅+ⁿ⁺²c₅+ⁿ⁺³c₅+ⁿ⁺⁴c₅=?
- How do we solve this question?
- Can someone check my answer pls?
- The average (arithmetic mean) weight of 3 boxes is 70 pounds. If each box weighs at least 68 pounds, what is the greatest possible weight, in pounds, of one of these boxes?
- Explain using the concept of a confidence interval (population proportion)?
- Show that the mean and variance of binomial random variable is np and npq?
- What does it mean for a country to have a "young" or "old" population?
- How do I solve question 3ai)?
- In a bag, there are 5 white balls, 7 red balls and 8 black balls. Three balls are chosen randomly in succession from the bag.If the first and the third chosen balls are in different colours, find the probability that the second chosen ball is red? Thanks
- If the probability that it will rain tomorrow is 0.382, what is the probability that it will not?
- Mean/median/mode and range/standard deviation/variance (sample)?
- 5,8,6 and K occur with frequencies 3,2,4 and 1 respectively and have a mean of 5.7. Find the value of K?
- How many different 4-digit numbers can be formed using the digits 2, 4, 5, 6, and 7 such that no digits repeat and the number is divisible by four?
- The probability of a student passing any examination is 2/3. If the student takes three examinations, what is the probability that he will not pass any of them?
- A bag has five red marbles, six blue marbles, and four black marbles. What is the probability of picking a red marble, replacing it, and then picking a black marble?
- A history lecture hall class has 15 students. There is a 15% absentee rate per class meeting. What is the probability that exactly one student will be absent from class?
- In how many ways can the letters of the word "PERMUTATIONS" be arranged so that there are always 4 letters between 'P' and 'S'?
- In how many ways can 5 girls be seated in a row of 5 seats?
- Can someone please help me with this project ?
- What measure of central tendency is not influenced by outliers?
- How many ways can a committee of 4 people be selected from a group of 7 people?
- A fair die is rolled three times. A 6 is considered "success", while all other outcomes are "failures". What is the probability of 1 success?
- "The graph of a normal curve is given. Use the graph to identify the values of #\mu# and #\sigma#" ?
- How many five digit number can be formed using digits 1,2,3,6 and 9 with repeation?
- A committee of four is to be selected from a number of people ,two of whom are women.If the number of ways both women can be in the committee is twice that of neither being on it,find the number of people available?
- Five cards are randomly selected without replacement from a standard deck of 52 playing cards. Calculate the following probabilities & round your final answer to four decimal places. a) What is the probability of getting five spades?
- How many five digit number can be formed using digits 1,2,3,6 and 9 without repeation?
- How many 5 digit numbers can be formed using only the digits e,8,1,2,5 and 7?
- A sample of 4 different calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects; what is the probability that at least one of the calculators is defective?
- Square root of 15 is the geometric mean of x and y . find y if x=3?
- A bag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What is the probability that you pick a green marble, do not replace it, and pick a red marble?
- If P ( A ) = 0.75%, find P (not A)?
- What is the probability of rolling a sum of 10 with two dice?
- How many different 9-0 letter code words can be made using the symbols %, %, %, %, &, &, &, +, +?
- For a Gallup poll, #M# is the event of randomly selecting a male, and #R# is the event of randomly selecting a Republican. Are events #M# and #R# disjoint? Why or why not?
- What are the odds of guessing a card and its suit in a standard deck of cards of 52?
- Why are lower and upper fences important?
- In a bridge game of playing cards,4 players are distributed one card each by turn so that each player gets 13 cards. Find possible number ways?
- A class of 30 students has a spelling quiz everyday. On Monday, 17 of the students scored 100% on the quiz. On Tuesday, 18 students scored 100% on the quiz. The leas possible number of students who scored 100% on both quizzes is what?
- In a sample of 1000 cases, the mean of test score is 14.5 and standard deviation is 2.5. Assuming normality of distribution, how many individuals score between 12 and 16?
- The cost of playing golf increases with the number of games played. What is the independent and dependent quantity in the situation?
- The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. A juice box is selected at random. What is the probability of the complement of choosing an orange juice box?
- The mean weight for team A with 15 members is 140 lbs., the mean weight for team B with 7 members is 135 lbs., and the mean weight for team C with 20 members is 160 lbs. The overall mean weight for all three teams is _________?
- 10,000 students took a math test. If their average score was 40 with a standard deviation of 10, how many students must have scored between 20 and 40 marks?
- The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and a standard deviation of 0.8 in. What percentage of the snakes are longer than 16.6 in?
- 'A bag contains 4 oranges , 3 grapefruits , and 8 tangerines. A piece of fruit is chosen from the bag at random . What is the probability that a grapefruit is not chosen?
- A total of 6 family members will appear in a portrait. If 2 of the family members may sit in the front row, how many combinations of family members may sit in the front row?
- Emily is playing a board game that has a spinner divided into equal sections numbered 1 to 18. The probability of the spinner landing on an even number or a multiple of 3 ?
- If the enrollment of the class was 42, what fraction of the class was present on Monday?
- The World Almanac lists 15 tall buildings in New Orleans, Louisiana. The number of floors in each of these buildings is shown in this stem and leaf plot. How many buildings have 35 floors or less?
- Find the probability of the given event. Choosing seven numbers that match seven random selected balls when the balls are numbered 1 through 35. The probability of the given event is?
- What would be a good estimation of the correlation coefficient for the data displayed in the scatterplot?
- The profit of SME is assumed to follow a Normal dist. With a mean of £46,000 and a standard deviation of £19,000. What is the probability that (round to 4dp) the mean profit of 25 lies between £44,000 and £48,000?
- What is the probability of choosing two integer numbers of module less than or equal with #100#, their sum to be zero?
- A card is chosen at random from my deck of 52 cards it is replaced and I second card is chosen what is the probability of choosing a king and an ace?
- A card is randomly drawn from a standard deck of playing cards. Find the probabiltiy that it is not a face card. Write you answer in fraction form?
- Find the number of distinguishable permutations of the letters LUCKY?
- A bag contains 3 blue marbles and 5 green marbles. One marble is drawn at random and is not replaced. Then a second marble is drawn. What is the probability that the first marble is green and the second one is blue? Write you answer in fraction form.
- A box contains a nickel, a penny, and a dime. Find the probability of choosing first a dime and then, without replacing the dime, choosing a penny. Write you answer in fraction form?
- Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ = 200 days and standard deviation σ = 19 days. What is the probability that a randomly selected pregnancy is less than 194 days?
- The area under the normal curve between z = -1.0 and z = -2.0?
- How do you find the mean for this data?
- An unbiased usual 6-sided die is thrown 3 times. The sum of the numbers coming up is 10. The probability that 2 has appeared at least once is? 1)1/36 2)5/36 3)91/216 4)1/18
- What is the difference between permutation and combination?
- In a batch of 890 calculators 12 were found defective what is the probability that a calculator chosen at random will be defective?
- What is the purpose of pilot studies and pre -testing?
- If you pick a card at a random from a well shuffled deck, what is the probability that you get a face card or a spade?
- What 4 numbers have a median of 20?
- Two six-sided number cubes are rolled. Each number cube has sides numbered 1 through 6. What is the probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4?
- There are 3 vacancies on the scholarship committee at a certain university. In order to balance the men and women on the committee, 1 woman and 2 men are to be appointed. In how many ways can this be done if the following are available to serve?
- Roy must elect 3 courses from among 5 courses in group I and 4 courses in group II. If he must take at least 1 of his 3 electives from each group, how many choices does he have? _____ choices
- There are 25 horses.... Once only 5 horses can have a race over there track.. Calculate the minimum races to choose 1st 3from them?
- A jar is filled with jelly beans: 14 cherry, 12 licorice, 10 tangerine, and 2 lemon-lime. You grab 4 beans from the jar at the same time. What is the probability that they are all cherry?
- What are the probabilities?
- 6 boys and 6 girls sit in a row randomly. What is the probability that the 6 girls sit together or the boys and girls sit alternatively is?
- The average of #a# and #b# is 6 and the average of #a,b,# and #c# is 11. What is the value of #c#?
- When the final exam statistics coolers of 500 students were analyzed, a mean score of 82 was obtained with a standard deviation of 6. Assuming that the scores were normally distributed how many students have scores between 76 and 88?
- In a data set, what is the variance? Data set = 6 8 1 9 4
- A distribution of scores has a standard deviation of 10. What #z#-score corresponds to a score that is 10 points below the mean?
- If P(A)=1/2, P(B)=2/3, and P(A or B)=5/6 then can you say that the event A and B are mutually exculsive?
- In how many ways can four distinguishable pieces be placed on an 8 * 8 chessboard so that no two pieces are in the same row or column?
- Super confused about frequency chart?
- In a recent survey of students who graduated from a large public high school, nine out of ten students reported that they passed biology with a grade of 75% or higher. What further data could be produced to be sure that this information is accurate?
- 1. Tom recorded the ages of his family members attending a birthday party. The ages are shown below. Use the data set to answer the following questions? 13, 14, 18, 13, 12, 17, 15, 12, 13, 19, 11, 14, 14, 18, 22, 23
- Combinations Question How do you figure this out? Please help
- What is the value of Z-score given area to the right is 0.6915?
- What is the mean, median, mode, and range of the following numbers? : (95, 87, 92, 95, 98)
- Two dice are rolled once. What is the probability of getting a multiple of #3# or sum of #10#? The answer given in my book is #5/12#.
- Find the number of poker hand that are void in at leastvone suit...?
- Two number cubes are rolled. What is the probability of rolling a difference of 2?
- How many ways can you order a hot dog if you can order it with or without ketchup, mustard, relish, mayo, or pepper?
- Scatter plots: Is the answer A?
- A spinner is divided into 8 equal sections numbered 1 to 8. if the arrow is spun once, what is the probability it will land on a number less than 4?
- Sue's average for 9 games of bowling is 108. What is the lowest score she can receive for the tenth game to have a mean of 110?
- Find number if ways to take 4 people and place them in group of 3 where order does not matter?
- If a student has 7 multiple choice answers what is the probability they select the right answer?
- Calculate Mode from the following data ?
- In how many way can 10 couples sit around a table so that the spouses sit together?
- What is the probability a 5 card hand has 3 of a kind and 2 of a kind?
- How do you standardize a normal random variable?
- The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. The probability of a player weighing more than 241.25 pounds is?
- A trait has two alleles, represented by #p# and #q#. If #p=0.35#, what is #q#?
- What I do know is that the total number of tourists are 30, and the number who did not visit the zoo is 5, so the answer should be 16.67% but, I've done some extensive research on the wording of the problem and I'm wondering if the ratio should be 5/7?
- What does it mean when a distribution of data is more or less peaked?
- Brian rolls a number cube twice. What is the probability that the sum of the 2 rolls is less than 6, given that the first roll is a 3?
- Five red cubes and 4 blue cubes are placed at random in a row. Find the probabilty that (a) both end cubes are red. (b) the cubes alternate in color?
- Andy has taken three math summatives so far this quarter. The grades he has earned are 84%, 65%, and 76%. What grade must he obtain on the next summative to have an average of 80% on all four math summatives?
- What is the IQR (Inter Quartile Range) for the data set? 11 6 19 14 21 7 13 15 15
- Five books of different heights are arranged in a row. Find the probability that (a) the tallest book is at the right end. (b) the tallest and shortest books occupy the end position (c) the tallest and shortest books are together ?
- What is the median,mean,and mode for 4,5,6,7?
- What is the mean to 2,1,4,6,1,4,3 ?
- What is the mean to 2,1,4,6,1,4,3 ?
- In a binomial distribution, #n=8# and #p = .3#. What is the probability #x=2#?
- Probability questions - Can you help me solve?
- A world-class sprinter is the coach of a high school track team.There are 52 members of the track team.The coach times everyone on the team, including himself, running the 100-meter race.Which measure will be the most greatly affected by the inclusion...?
- Why can't population be negative?
- Finishing times in a marathon race follow a normal distribution with mean 210 minutes and standard deviation 22 minutes.The fastest 90% of finishers receive a certificate.Find the time, below which a competitor has to complete the race to get certificate?
- The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300 days? Round to 4 decimal places.
- Find the lower quartile?
- How do I Evaluate 10c4?
- Find the number of permutations of the first 9 letters of the alphabet, taking 4 letters at a time?
- Sophie is choosing an outfit for the day. She has a choice of four pairs of pants, three shirts, and four pairs of shoes. How many different outfit choices does she have?
- The given two events, Event A and Event B are independent events. P(A) = 0.42 P(B) = 0.3 P(A and B) = ________ ?
- What is the mean, median, mode, and range of 7, 3, 3, 9, 9, 5, 9, 3, 6?
- To win the lottery one must correctly select 5 numbers from 50 numbers. The order in which the selection is made does not matter. How many different selections are possible? what is the probability of winning?
- Robert uses his calculator to generate 5 random integers between 1 and 9 inclusive. Find the probability that at least 2 of the 5 integers are less than or equal to 4?
- How does an outlier of 67 affect a mean of 867?
- A university football stadium has 1/6 of its students' seats in the end zones. If tickets are randomly selected and mailed to students, what is the probability that a certain student would get end zone seats at all 5 home games?
- What is the probility of rolling a 11 with to number cubes?
- What is the mean for the scores 40,20,30,10,10?
- What is the average of 36 and 100?
- A jar contains 3 red, 4 blue, and 2 white marbles. What is the probability that a marble drawn at random is not red?
- The random variable Y is normally distributed with mean equal to ﬁve times the standard deviation. It is given that P(Y > 20) = 0.0732. Find the mean?
- What does a deck of cards contain? Like, how many spades, clubs, ace, etc. Also how many are black or red cards for spades, clubs, etc. Thank you :)
- What is the probability of rolling two number cubes and getting sum of 10?
- Help w/ Another Tree Diagram Question?
- Help with this Tree Diagram Question?
- What is the probability that a number picked from the set {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5} will be a solution of 2x+5>1?
- Roll a die 90 ,how many times would you expect the die to come up as a multiple of 3?
- There are 8 jelly beans in a bag. the probability of randomly picking two orange jellybeans without replacement is 3/14. how many orange jellybeans are in the bag?
- The mean of 3, 7, 8, 10 and x is 6. Can you find X?
- How to find the standard error for a proportion?
- What is the range of the following mode median mean of 4,1,3,4,2,2,5?
- Suppose you toss a coin 100times and get 52heads and 48 tails. Based on these results, what is the probability that the next flip results in a head?
- Work out the mean of 2,3,2,3,3,5,5 as a fraction?
- You roll a red number cube and a blue number cube. Find P(red greater then 2 and blue 4)?
- what is the relative frequency (rounded to the nearest hundredth) of a person over 30 years old who prefers to swim in the ocean?
- Which two-way table represents this situation?
- How do you calculate the number in the middle of 11 and 24?
- The following list gives the number of siblings for each of 8 students. 3, 1, 2, 0, 3, 0, 2, 4 Find the modes of this data set. what is the answer?
- A fan of country music plans to make a custom CD with 11 of her 30 favorite songs. How many different combinations of 11 songs are possible? Is it practical to make a different CD for each possible combination?
- Jimmy throws a coin on the square table at random, find the possibility that he wins a prize. Can show steps clearly?
- How to find four scores given the median, mode and mean?
- What's the difference between standard deviation and z-score?
- Suppose X is a uniform discrete random variable with possible values #X=1,2,....,n.# Can you show that the variance of #X# is #(n^2-1)/12#? Hint: #1^2 + 2^2 + 3^2+ .... + n^2=(n(n+1)(2n+1))/6#
- Two urns contain white balls and yellow balls. The first urn contains 9 white balls and 9 yellow balls & the second urn contains 8 white balls and 3 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?
- Three ladies have each brought a child for admisson to a school. The head of the school wishes to interview the six people one by one, taking care that no child is interviewed before its mother . In how many different ways can the interviews arranged?
- In how many ways can 3 different novels, 2 different mathematics books, and 1 biology book be arranged on a bookshelf if the mathematics books must be together and the novels must be together?
- Is height of a basketball player discrete or continuous variable?
- What is the mode of 35, 33, 34?
- How to find the standard error of a mean?
- Here i think is permutations. how many different combinations?
- Can you use #sigma^2=Sigma(x_i-mu)^2p_i# to show that #sigma^2=Sigmax_i^2p_i-mu^2#?
- A bag has 15 white marbles and 12 blue marbles. Allison will randomly select 1 marble from this bag. What is the probability that she will select a blue marble?
- Look at table below. What is the probability of choosing a person in California given that they are a male?
- Clarice has 7 new CDs; 3 are classical music and the rest are pop music. If she randomly grabs 3 CDs to listen to in the car on her way to school, what is the probability that she will select only classical music?
- How many ways can two people win a first and second place math competition? How many ways can two people be asked to baby-sit a group of kids next door? Is order important?
- What is the median number on a frequency table?
- The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times. What is the experimental probability of rolling a 3 or a 6? Express your answer in simplest form.
- What is the median number for the number 4,8,10,5,9?
- A knitted hat pattern comes in 4 styles with 4 stitch options and 3 sizes, and there are 7 yarns appropriate for the hat. Disregarding size, how many different hats can be made?
- You to a number cube twice.Rolling an even number and a 5?
- Six fair coins are flipped. Find the probability that fewer than 2 coins land heads. ?
- A1,A2,.....A10 Are 10 given. Determine number of ways of arrangement such that A1 And A2 are always between A3 and A4?
- A three-digit number is multiplied by a two-digit number whose tens’ digit is 9. The product is a four-digit number whose hundreds digit is 2. How many three-digit numbers satisfy this condition?
- A spinner consists of six equal regions as shown. If Harold spins the spinner twice, what is the probability that the arrow will land of a region numbered less that or equal to 2 followed by a 5?
- The time required to finish a test in normally distributed with a mean of 70 minutes and a standard deviation of 10 minutes.What is the probability that a student chosen at random will finish the test in less than 90 minutes?
- (N+1)!/N! Stuck on this question in probability. Any know how to do it?
- A bag has 4 yellow 6 red,2 green,and 8 purple marbles .What is the probablity of picking a green marble, not replacing it ,and picking another green marble?
- A bag has 2 yellow,7 red,and 1 green marble. What is the probability of picking a green marble, replacing it,and then picking yellow marble?
- How do you find the range of the data set: 5, 3, 8, 4, 9, 7, 5, 6, 2, 3, 6, 8, 4?
- Two number cubes are rolled and their values are added. What is the probability that the sum is less than or equal to 7?
- In a box of 24 iPods, 3 are defective. If 3 are sold, find the probability that all are defective. Would you consider this event likely or unlikely to occur?
- Ten individuals are chosen at random from a normal population of students and their marks found to be 63, 63, 66, 67, 68, 69, 70, 70, 71, 71. In the light of these data, discuss the suggestion that mean mark of the population of students is 66.?
- There are: 128,665 twins, 7110 triplets, 468 quadruplets, and 85 quintuplets. A)Find the probability that it represented more than two babies.B) Find the probability it represented quads or quints. C)choose one baby, whats the prob baby was a triplet?
- A) Look at table below. Find the probability the student is a female ages 25-34. B) Find the probability student is under 25 and not a male?
- Look at table below. Find these probabilites. A.) Exactly 1 item B.) More than 2 items C.) At least 1 item D.) At most 3 items?
- If a patient is selected at random, find these probabilities. A)Patient has had exactly 2 tests done. B) Patient has had at least 2 tests done.C) Patient has had at most 3 tests.D)Patient has had 3 or fewer tests done. E)Patient has had 3 or fewertests?
- In how many ways can the acronym NOUN be written?
- 5. There is a number cube that has the A, B, C’s instead of numbers. What is the probability of rolling the first three letters of the alphabet?
- 3. Two dices are tossed. What is the probability that those scores added together is a prime number?
- 2. In a lottery, there are 10 prizes and 25 misses. A lottery is drawn at random. What is the probability of getting a prize?
- If the radius of the shaded center circle is 1 and the radius of the entire dartboard is 4, what is the probability of throwing a dart and hitting the white part of the board?
- A family has 3 children. Find the probabilities. A) all boys B) All boys or all girls C) Exactly two boys or two girls D) At least one child of each gender What are the probabilities?
- In a game of craps, a player loses on the roll if a 2, 3, or 12 is tossed on the first roll. What is the probability of losing on the first roll?
- How do you find the range for 36, 17, 22, 43, 11, 56, 17, 71?
- Five cards are selected without replacement from a pack of 52 cards. What is the probability of selecting exactly 3 hearts?
- A recent study of 100 people in Miami found that 27 were obese. Find and interpret the 90 % confidence interval of the population of the individuals in Miami who are obese?
- A consumer organization estimates that over a 1-year period 20% of cars will need to be repaired once, 6% will need repairs twice, and 2% will require three or more repairs. What is the probability that a car chosen at random will need repairs?
- You flip a coin 10 times and find the experimental probability of flipping tails to be 0.7. Does this seem reasonable?
- Suppose Q and R are independent events. Find P(Q and R) if P(Q) = 0.41 and P(R) = 0.44?
- What is the interquartile range for the set of data: 11, 19, 35, 42, 60, 72, 80, 85, 88?
- In how many different ways can 5 books be arranged on a shelf?
- Let A and B be two sets containing 2 elements and 4 elements respectively. What is the number of subsets of A × B having 3 or more elements ?
- What are the conditions under which logistic growth occurs?
- What is the median of 0, 15, 16, 17, 21, 72, 51, 78, -3, 13, 100, 19?
- 4.Please help answering these questions based on Decisions (algorithms) maths. I have attached the image. Show working out too. Thanks!?
- How do you find the standard deviation of: 84, 92, 66, 52?
- What is the probability of rolling a total of 9 with two fair dice?
- A bag contains 7 red marbles, 12 orange marbles, 18 yellow marbles, and 5 purple marbles. A marble is drawn at random from the bag. What is the probability that the marble drawn will not be orange?
- The door code to get into a top-secret laboratory is 6 digits. The first 3 digits of the code are all odd and the last 3 digits are all even. Digits can be used more than once. How many possible codes are there to gain access to this laboratory?
- Luanne flips a coin and rolls a six-sided number cube. What is the probability that the coin will land on heads and the number cube will land on three?
- 'How many numbers between 5000 and 6000 can be formed from the digits 1,2,3,4,5 and 6 IF (i) no digits are repeated (ii) if repeated digits are allowed?'
- Luke records the number of birds that visit his bird table. The numbers recorded last week were 8, 12, 14, 9, 8, 10, and 13. What are the mean and standard deviation for this data?
- What is the mean, median, mode, and range of 5, 30, 35, 20, 5, 25, 20?
- If a fair number cubed is rolled 18 times, how many times is the number 2 expected to come up?
- How many different ways can a researcher select 5 rats from 20 rats and assign each to a different test?
- Asurvey of 250 people eating out found that 112 plan to see a movie after their meal. What is the probability a person eating out will see a movie after their meal?
- If you roll a die, what is the probability that a two will appear on top?
- What is the average of 39 and 146?
- What is the median number for the numbers 4, 8, 10, 5, 9?
- What is the probability of rolling a sum of 11 with two dice?
- What is the median of 476, 234, 355, 765, 470?
- A math class has 7 girls and 5 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that she selects two boys?
- If you roll a die, what is the probability that a four will appear on top?
- How are repeated trials different from replication?
- How do you use the Counting Principle to find the probability of choosing the 5 winning lottery numbers when the numbers are chosen at random from 0 to 9?
- What is the probability of rolling a sum of 9 with two dice?
- Given the data points (12, -5), (0, 3), (9, -2), (6, 0), and (1, 1), how would you describe the correlation of the data?
- What number has a z-score of 2.5?
- What is the probability of #X= 6# successes, using the binomial formula?
- What is the probability of rolling a sum of 5 with two dice?
- How do you use the Counting Principle to find the probability of rolling a 4 on each of 4 number cubes?
- A jar contains 100 marbles. There are 49 blue marbles, 7 green marbles, 27 red marbles, and 17 yellow marbles. What is the probability of randomly selecting a red marble?
- In a binomial distribution, #n=8# and #p = .3#. What is the probability #x>=3#?
- In how many ways can 4 students from a group of 9 be seated in a row of 4 chairs?
- Sixty-four percent of all airplanes arriving at an airport are late. Using the binomial formula, what is the probability that in a random sample of seven airplanes, exactly four will arrive late?
- At In-N-Out, everyone knows that you can order your burgers with or without deee. You an also customize how many burger patties you get the regular (l Patty), double meat (2 patties), or the 3x3 (3 patties). 77% of people order a regular, 16% order double meat, and 54% order cheese. The most popular arger order is a r egular with cheese-42% of all orders! The least popular choice is a 3x3 with no dese, no cheese, making up only 2% of orders.
- There are 5 cyclists in a race. If the first-place finisher receives a gold medal, the second-place finisher receives a silver medal, and the third-place finisher receives a bronze medal, how many different permutations are possible for the medal winners?
- One ball is drawn at random from a bag containing 5 red balls and 6 white balls. What is the probability that ball is red or white?
- N a test of 4 subjects, Mike gets 96, 60 and 55 in three subjects. If his average (arithmetic mean) mark for all four subjects is 74, what is his fourth mark?
- What is the range and mean deviation for the data set #7, 5, 2, 8, 5, 6#?
- What is the mean of the data values #53,71,89,60,62#?
- Tree diagram were drawn to determine the number of possible outcomes when choosing one of 3 shirts, one of 8 ties, and one of 4 jackets, how many leaves would there be?
- 39.8°F, 44.5°F, 28.9°F, 47.3°F, and 32.8°F. What was the average temperature over those days?
- Your video game scores are 64, -13, 73, -5, and 36. What were your lowest and highest scores? What was your mean score?
- A 12 member jury for a criminal case will be selected from a pool of 15 men and 15 women. What is the probability that the jury will have 6 men and 6 women?
- How many different computer passwords are possible if each consists of 4 symbols, the first must be a letter and the other 3 must be digits?
- How many different groups of three kids can you make from seven kids?
- A lottery has a $100 000 first prize, a $25 000 second prize, and five $500 third prizes. A total of 50000 tickets are sold. What is the probability of winning a prize in this lottery?
- Suppose that for a group of consumers, the probability of eating is 0.75 and that the probability of drinking Coke Further suppose that the probability of eating pretzels and drinking Coke is 0.55. Are these two events independent? Why?
- You have a standard number cube. What is the probability of rolling a number less than 3, and then rolling a prime number?
- If two dice are rolled, what is the probability that the sum of the dice is 10?
- A bag contains 6 red balls and 7 green balls. You plan to select 5 balls at random. What is the probability of selecting (without replacement) 5 green balls?
- Jasem wrote down all the 5 digit numbers that contained only the digits 1, 2, 3, 4 and 5. How many numbers were exactly divisible by 5?
- A coin-operated machine sells plastic rings. It contains 4 yellow rings, 15 black rings, 0 orange rings, and 6 purple rings. Sarah puts a coin into the machine. What is the theoretical probability she gets a purple ring?
- A trait has two alleles, represented by #p# and #q#. If #p=0.89#, what is #q#?
- The average score on a standardized test is 750 points with a standard deviation of 50 points. If 2,000 students take the test at a local school, how many students do you expect to score between 700 and 800 points?
- Why should we be familiar with graphs and charts?
- A restaurant offers 12 different appetizers. How many ways can a group of friends share 3 different appetizers?
- If a license plate consists of four digits, how many different licenses could be created having at least one digit repeated?
- What is the probability that an offspring will inherit cystic fibrosis, an autosomal recessive disorder, if both parents are carriers?
- What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?
- Antonio puts six different CDs in a CD player and the CD player randomly plays a song from any of the CDs. What is the probability that the CD player will play the first song from the first CD and the first song from the sixth CD?
- A jar contains 8 green, 5 red, 4 blue, and 3 black marbles. Once a marble is selected, it is not replaced. What is the probability for getting each color?
- A space shuttle requires 3-out-of-4 of its main engines to achieve orbit. Each engine has a reliability of 0.97. What is the probability of achieving orbit?
- Reports on a student's ACT or SAT usually give the percentile as well as the actual score. Tonya scores 1318 on the SAT. What is her percentile?
- Suppose you have a data set 3, 3, 3, 3, 3 3; that is, all observations are equal. What is the sample mean, median, and mode? What is the sample standard deviation?
- Kellie flips a dime and then a quarter. How many results are possible?
- What is the standard deviation for {1,3,4,6,8}?
- How many ways are there to roll a sum of 7 or 11 on two dice?
- If a distribution has a mean of 100 and a standard deviation of 15, what value would be +2 standard deviations from the mean?
- Shanti's teacher gives a 10-point math quiz every week. On the five quizzes given so far Shanti's scores were 10, 9, 5, 7, and 10. What is Shanti's average math quiz score?
- A pizza parlor has 14 different toppings available for its pizzas, and 2 of these toppings are pepperoni and anchovies. If a customer picks 2 toppings at random, what is the probability pepperoni is one of the toppings?
- The average of three numbers is 8. If the sum of two of the numbers is 20, what is the third number?
- A card is drawn from a standard deck of 52 playing cards. What is the probability that the card is an ace or a king?
- A group of thirty people is selected at random. What is the probability that at least two of them will have the same birthday?
- What is the average of 92, 63, 77, and 89?
- What is the probability of any particular day being Thursday?
- To one decimal place, what percentage of the area under the normal curve lies between #+-# 2 standard deviations of #mu#?
- What is the mean, median and mode for this list of integers: 21, 15, 16, 25, 13, 18?
- A student has earned the following scores on four 100-point tests this marking period: 63, 72, 88, and 91. What score must the student earn on the fifth and final test of the marking period to earn an average test grade of 80 for the five tests?
- Teesha is in the French club. There are 26 students in the club. The French teacher will pick 3 students at random to guide visiting students from France. What is the probability that Teesha will not be picked as a guide?
- You toss a coin and randomly select a number from 0 to 9. What is the probability of getting tails and selecting a 1?
- A whole number consists of the 2 4, 6, 8, and 0. How many whole numbers are possible?
- Amanda is making flower arrangements. She has 20 daisies and 16 roses. What is the greatest number of arrangements she can make? How many daisies and how many roses will be in each?
- A normal distribution has a mean of 142 and a standard deviation of 16. What is the probability that a randomly selected value lies between 142 and 174?
- A coin is flipped 12 times. What is the probability of getting exactly 8 heads?
- When a cube with sides numbered 1 through 6 is rolled one time, what is the probability of rolling a 4 or greater?
- If a jelly bean machine contains 16 pink jelly beans, 34 blue jelly beans, 24 black jelly beans, and 26 purple jelly beans, what is the probability that a jelly bean chosen at random will be blue?
- What is the mean absolute deviation of the set of data 6, 8, 2, 10, 5?
- What is the z-value of something that has an area of .8051 under the standard normal curve to its right?
- Suppose that the sample mean of 12 data points is 25. It is discovered that a data point having value 16 was incorrectly read as 19. What is the revised value of the sample mean?
- How many possible three-digit passwords can be formed using digits 0 through 9 if no digits are repeated?
- The government has decided that the free-market price of cheese is too low. Farmers complain that the price floor has reduced their total revenue. Is this possible?
- Is the median, mode, or mean the most misleading average of 4, 92, 96, and 96?
- Bailey earned the following scores on 6 math tests: 90, 96, 100, 82, 78, 100. Her teacher said she could choose to record either the median or the mean of her test scores. Which should she choose? Why?
- What is statistics ?
- The letters in the word "baseball" are placed in a bag. If a letter is picked at random, what is the probability that an "a" will be selected?
- What is the probability of getting exactly 8 heads?
- Harriet was rated at her job with a pretest and a posttest. The posttest score counted double. If she scored 88 on the pretest and 93 on the posttest, what was her weighted average?
- If the sample mean = 50, population mean = 44, sample standard deviation = 6, and sample size = 9, what is the one sided t-score of the sample?
- What is the average of 27 and 45?
- What are four numbers that have a mean of 6, median of 5, and mode of 4?
- There are 42 members on the board of directors for a certain non-profit institution. lf they must elect a chairperson, first vice chairperson, second vice chairperson, and secretary, how many different slates of candidates are possible?
- What is the average of 10, 18, and 23?
- The theoretical probability that a man will have some form of color blindness is 8%, whereas the theoretical probability of a woman having color blindness is 0.5%. If you have a group of 700 men, how many will be color blind?
- Consider the set {4, 5, 7, 7, 8, 8, 12, 13, 13, 15, 18, 20, 22, 24, 26, 27, 27, 37, 43}. What would be an appropriate interval to make a histogram with the data?
- An urn, randomly sampled from contains 5 Red and 3 Green poker chips. What is the probability that the first draw is Green?
- A card game using a standard deck of 52 cards costs $1 to play. If you draw a face card or an even number, you lose. If you draw an ace, you win $5, and if you draw an odd number, you win $2. What is the expected payoff?
- Your mom owns fifteen (15) pairs of high heeled shoes. In how many ways can she choose six (6) pairs to take on a trip?
- What is the mode of the set of data 13, 11, 4, 5, 6, 9, 10, 12, 15, 16?
- Three chemistry students measured the length of a copper bar. The recorded lengths were 5.05 cm, 5 cm, and 5.1 cm. What is the average length of the bar?
- Tournament a bowling tournament, you bowled three games with scores of 110, 130, and 129, respectively. What is your average score?
- There are four queens in a stack of 52. What is the probability that you will pull a black queen out of the card deck without looking?
- At a city Hospital, 40 boys and 50 girls were born yesterday. What is the experimental probability that the next baby born will be a girl ?
- If the probability of a frost tomorrow is 0.05, what is the probability of not having a frost?
- In a carnival drawing, a green ticket wins $1, a yellow ticket wins $5, and a blue ticket wins $10. There are 20 green tickets, 10 yellow tickets and 5 blue tickets. In simplest form, what are the odds against winning less than $10?
- A study of 600 adults found that the number of hours they spend on social networking sites each week is normally distributed with a mean of 17 hours. The population standard deviation is 6 hours. What is the margin of error for a 95% confidence interval?
- How many different distinguishable horizontal arrangements of 7 identically shaped balls are there if 2 are blue, 3 are red, and 2 are yellow?
- An amusement park has 13 roller coasters. In how many ways can you choose 4 of the roller coasters to ride during your visit to the park?
- If the probability of rain is 0.63, what is the probability of NO rain?
- What is the probability of drawing a 9 of spades from a 52-card deck given the deck is properly shuffled?
- A cell phone company orders 500 new phones from a manufacturer. If the probability of a phone being defective is 2.6%, how many of the phones are likely to be defective?
- The class results for a math test had a mean score of 78.35 and a standard deviation of 6.24. If a student's score was 87, what was the student's z-score for the test?
- You have the numbers 1-24 written on slips of paper. If you choose one slip at random, what is the probability that you will not select a number which is divisible by 3?
- Scores on a statistics final in a large class were normally distributed with a mean of 75 and standard deviation of 6. What is the 40th percentile of the scores?
- What is the interquartile range of the data set: 9, 30, 2, 48, 42, 18, 81, 5, 55, 73, 11?
- Two power generating units A and B operate in parallel to supply the power requirement of a small city. If there is failure in the power generation what is the probability that the city will have its supply of full power?
- What is the probability of flipping a coin and getting a heads, given that the probability of getting a tails is the same, and there is no chance that the coin lands on its side?
- 14% compounded continuously
- A fair six sided die is rolled four times in a row. What is the probability that die will come up six at least once?
- What are 5 different numbers that together have an average of -12?
- What is the third quartile of the data set $140, $174, $148, $171, $150, $167, $152, $166?
- Why do we square the deviations from the mean when calculating the standard deviation?
- If I flip a coin, what are my chances of getting heads?
- In a game of bridge the pack of 52 cards is shared equally between all four players. What is the probability that one particular player has no hearts?
- A random sample of 10 children found that their average growth for the first year was 9.8 inches. What is the 95% confidence interval of the population mean for growth during the first year?
- Suppose the demand and supply equations for wheat per year in a country can be specified as follows ? : Q (D) = 500 – 2P Q(S) = – 100 + 4P P is the price in dollars per thousand bushels and Q is the quantity of wheat in thousands of bushels.
- What is the probability of choosing a red card at random from a pack of cards?
- In a batch of 890 calculators, 12 were found to be defective. What is the probability that a calculator chosen at random will be defective?
- A group of musicians includes 3 drummers, 4 trumpet players, and 5 pianists. How many different jazz trios, each consisting of a drummer, a trumpet player, and a pianist, can be formed from this group of musicians?
- What is the probability of rolling a number higher than 3 on a six sided dice?
- What is the mode of the numbers: 4, 7, 2, 4, 2, 2, 8, 7, 4, 2?
- Where we need Class Boundries in statistics?
- A coin is tossed 20 times. What is the probability there are 17 tails?
- What is the mode, median, and mean of 28, 39, 42, 29, 39, 40, 36, 46, 41, 30?
- What is the mode, median, and mean of 3, 12, 11, 7, 5, 5, 6, 4, 10?
- What is the purpose of calculating z-scores?
- The incubation time for Rhode Island Red chicks is normally distributed 27 days and standard deviation of approximately 3 days. If 1000 eggs are incubated, how many chicks do we expect will hatch in 27 to 33 days?
- The range of a set of scores is 28. If the highest score is 47, what is the lowest score?
- What is the mean of 6, 8, 2, 4, 11, 5, 8, 10, 3, 4?
- A test was given in which the mean grade was 70% and the standard deviation was 12. a) If a student has a standard score (z) of -2.74, what is the student grade on the test?
- A z score of +1.6 represents a value how many standard deviations above the mean?
- What is the area under the standard normal curve that lies between #Z=0# and #Z=1.51#?
- On a single roll of a pair of dice, what are the odds against rolling a sum of 11?
- The monthly fees for single rooms at 5 colleges are $370, $310, $380, $340, and $310, respectively. What is the mean of these monthly fees?
- Adam tried to compute the average of his 7 test scores. He mistakenly divided the correct sum of all of his test scores by 6, which yielded 84. What is Adam's correct average test score?
- A student has test scores of 68, 75, and 79 points. What must she score on the fourth exam to have an average score of at least 80 points?
- What is the mean absolute deviation of the prices $16, $20, $15, $11, and $13?
- The average (arithmetic mean) of the integers from 200 to 400, inclusive, is how much greater than the average of the integers from 50 to 100, inclusive?
- A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose a tile without looking. What is the probability that you choose a vowel or a letter in the word GEOMETRY?
- A study of one thousand teens found that the number of hours they spend on social networking sites each week normally distributed with a mean of 15 hours. The population standard deviation is 2 hours. What is the 95% confidence interval for the mean?
- Suppose an experiment consists of randomly drawing a marble out of a bag and replacing the marble. The bag contains 3 yellow, 4 red, and 8 blue marbles. If the experiment was repeated 20 times, how many times would you predict the marble would be yellow?
- Bailey has a bucket that contains 4 purple marbles, 3 pink marbles, 1 black marble, and 2 silver marbles. What is the probability that she picks a silver marble?
- A coin is tossed, and a number cube is rolled. What is the probability of tossing heads, and rolling a 3 or a 5?
- There are 12 face cards in a standard deck of 52 cards. How many ways can you arrange a standard deck of 52 cards such that the first card is a face card?
- What is the mode, median and mean of 52, 61, 49, 52, 49, 52, 41, 58?
- The class average on a math test was 75.5 and the standard deviation was 4.2. What is the z-score for a test score of 81?
- How many distinct four-digit numbers contain the digits 1, 2, 3, and 4 without repetition, if the digit 2 is always immediately followed by the digit 3?
- Suppose you are playing a game in which two fair dice are to rolled. To make the first move, you need to roll doubles or a sum of 3 or 11. What is the probability that you will be able make the first move?
- In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 28 vowels and 12 consonants, what is the probability you will choose a consonant and then a vowel?
- What is the mode, median, and mean of 16, 19, 10, 24, 19?
- Prestige Builders has a development of new homes. There are four different floor plans, seven exterior colors, and an option of either a two-car or a three-car garage. How many choices are there for one home?
- Two urns contain white balls and yellow balls. The first urn contains 2 white balls and 7 yellow balls and the second um contains 3 white and 10 yellow. A ball is drawn at random from each urn. What is the probability that both balls are white?
- What is the percentile for the number 78 in the data set 24, 45, 52, 78, 90, 120, 34, 67, 111, 10?
- There were five people in group A, with a mean lQ of 100, and five in group B, with a mean IQ of 74. When Jack left group A for group B, both means increased, and the total of the two new means was 180. What Is Jack's IQ?
- To win the small county lottery, one must correctly select 3 numbers from 30 numbers. The order in which the selection is made does not matter. How many different selections are possible?
- (3/x - x^3)^8 find the constant term i know how to get to tr+1= (8cr)(3/x)^8-r(x^3)^r but i dont know what to do after this?
- When you roll two number cubes, what are the odds in simplest form against getting two numbers greater than 3?
- If you tossed a coin 10 times, what is the probability of landing on tails every time?
- The average of Molly's 5 quiz scores is 9.0. If her highest test score is dropped, her average is lowered to 8.5. What was her highest test score?
- If the average of 10 numbers is 10 and the sum of five of the numbers is -25, what is the average of the other 5 numbers?
- Carl has a piece of toast that has jelly on one side, and he dropped it twice. Both times, it landed with the jelly side up. If he drops it two more times, what is the probability that it will have landed jelly side up a total of three times?
- In how many different orders can 6 runners finish a race?
- A bag has 4 green marbles, 3 marbles, and 3 yellow marbles. What is the probability that you pick a red marble, do not replace it, and pick a yellow marble?
- The average time a subscriber spends reading the local newspaper is 49 minutes. For the 10% who spend the most time reading the paper, how much time do they spend?
- When a data set is normally distributed, about how much of the data fall within two standard deviations of the mean?
- There are 8 cars in a parking lot on a very cold day. Suppose the probability of any of them not starting is 0.13. What is the probability that exactly 2 of the cars will not start?
- What is the median of the following numbers: 3, 8, 9, 3, 5, 8, 3?
- Of the 232 airports available for public use in Themeliville, 121 are paved and lighted. For a simple random sample of 50, what is the probability that between 27 and 31 of the airports in the sample will be paved and lighted?
- Jeannie's scores on her first four tests were 80, 65, 87, and 75. What will she have to score on on her next test to obtain an average of at least 80 for the term?
- A four-digit serial number is to be created from the digits 0 through 9. How many of these serial numbers can be created if 0 can not be the first digit, no digit may be repeated, and the last digit must be 5?
- A scientist wants to display the proportion of 250 geese that were male compared to the proportion that were female. What type of visual display should scientist use?
- How many different ways can the first 10 letters of the alphabet be arranged?
- You reach into a bag of coins and withdrew two coins. What is the probability you withdrew a nickel and then a dime if the bag held ten pennies, six nickels, and five dimes?
- The number of points scored by a basketball team during the first 8 games of the season are 65, 58, 72, 74, 82, 67, 75, 71. How much will their average game score increase by if the team scores 93 points in the next game?
- A sock drawer has 2 blue 4 white pair, 4 black pair. What is the probability you can pick out 1 blue, 1 white, or 1 black?
- What is the mode, median, and mean of 8, 2, 8, 5, 5, 8?
- If we remove all of the queens from a 52-card deck, how many unique four card combinations can we have?
- If a coin is flipped twice and a standard die is rolled twice, what is the probability of getting two heads on the coin and the number 2 on the die twice?
- What is the value of #b# when the arithmetic mean of #b-5# and #2b+1# is #b+2?#
- The mean weight of 32 math students is 98.3 lb. If the students could all stand on the scale together, what would their total weight be?
- The mean of 3 numbers is 7. The mean of 4 other numbers is 8. The mean of 5 other numbers is 11. What is the mean of all 12 numbers?
- Suppose Colby rolls the number cube 100 times. About how many times can she expect to roll a 2?
- What is the mean, mode, range, and median of 55, 50, 58, 55, 60, 54, 56, 58, 58, 54?
- In a class of 300 students, 242 take math, 208 take science, and 183 take both math and science. How many students take neither math nor science?
- In a statistics class there are 11 juniors and 6 seniors; 4 of the seniors are females, 6 of the juniors are males. If a student is selected at random, what is the probability that the student is either a senior or a male?
- The probability that a coin lands head up is 0.5. What is the probability that a coin lands head up four times in a row?
- How many different arrangements can be made with in the word NUMBER?
- A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?
- What is the median of 41, 42, 42, 43, 44, 45, 45, 45 ,45? What is the mode?
- The principal would like to assemble a committee of 8 students from the 15-member student council. How many different committees can be chosen?
- What is the mode of the set of data $12.50, $13.23, $11.20, $14.50, $12.50, $13.23, $15.60, $15.75?
- Word 'asasi' , how many ways can (a) three of the letters be chosen and written in a row (b) 3 letters be arranged if the first letter must be S?
- A scientist wants to display how the number of frogs in a pond gradually declined over a 10-year period. What sort of visual display should the scientist use?
- In how many ways can 3 cards from a deck of 52 cards be laid in a row face up?
- If there are 30 children in a class and everyone shakes hands with everyone, how many hands would be shaken?
- A bag has 5 red marbles, 6 blue marbles and 4 black marbles. What is the probability of picking a blue marble, replacing it, and then picking another blue?
- What is the standard deviation of the data: 13, 11, 4, 5, 6, 9, 10, 12, 15, 16?
- What is the median of the data set {16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15)?
- What is the probability of flipping exactly 2 heads from 2 coins?
- The probability that a train leaves on time is 0.9. The probability that the train arrives on time and leaves on time is 0.36. What is the probability that the train arrives on time, given that it leaves on time?
- A basketball player attempts 3 free throws. The probability of him making one shot is .85. What is the probability he will make at least 2 shots?
- All phone numbers consist of a three-digit area code, a three-digit exchange, and then a four-digit number. A town uses the 587 area code and the exchange 355. How many different phone numbers are possible in this town under the follow conditions?
- A yogurt shop 7 flavors of frozen yogurt and 11 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping?
- You draw a card from a deck numbered 1 through 10 and toss a die. What is the probability of each outcome?
- #Q# and #R# are independent events. If #P(Q)=0.8# and #P(R)=0.2#, what is #P(Q# and #R)#?
- Suppose an experiment consists of rolling a fair, six-sided number If the cube. experiment were repeated 300 times, how many times would you predict the number cube would land on a value greater than 4?
- A key code must contain 4 numerals. There are 9 numerals available. Using numerals, how many different key codes may be created?
- The sum of Cheryl's scores on the first four quizzes in her history class was 364 points. If she scores 96 points on her next quiz, what will be her average score for the five quizzes?
- A bag contains 5 black balls and 3 white balls. Two balls are drawn at random, one after another from the bag without replacement. What the probability that both of the balls have the same colour?
- What is the median of 5, 19, 2, 28, 25?
- The length of a screw produced by a machine is normally distributed with a mean of 0.25 inches and a standard deviation of 0.01 inches. What percent of screws are between 0.24 and 0.26 inches?
- If you flip a coin 6 times, how many of the possible outcomes could include a tail on the second toss?
- Two cards are drawn at random from a standard deck of 52 cards, without replacement. What is the probability that both cards drawn are hearts?
- What is the mean and standard deviation of 5, 10, 12, 15, 20?
- A bag contains five red balls and four yellow balls. If we select two balls at random, what is the probability that the second ball is red given that the first ball was red?
- When rolling a single number cube, what are the odds, in simplest form, in favor of rolling a 4 or a 5?
- An automobile dealer wants to construct a pie graph to represent types of cars will July. He sold 270 cars; 45 of which were convertibles. The convertibles represent how many degrees in the circle?
- What is the median of the numbers 21, 23, 76, 47, 55, 135, 45, 30, 17?
- Thomas records the masses of several rocks as 7.40 g, 7.85 g, 7.60 g, and 7.40 g. What is the mode of Thomas's data set?
- Two fair, distinct dice are rolled. What is probability that the sum of the numbers on the dice is not 12?
- Suppose you roll two dice. What is the probability of rolling a sum of 8?
- What is the expected value of a lottery offering $100 or a consolation prize of $2 if you do not win, when the probability of winning is .4?
- A random integer is selected from 1000 different integers from 1 to 1000. What if the probability that the integer is divisible by both 3 and 52?
- How many different ways can you choose 3 vowels out of the box, if there are 5 vowels in the box and order does not matter?
- What is the definition of a large residual?
- If we have y = Xβ + ε where ε|X ~(0,σ^2Ψ). How do you derive the efficient estimator of β, and how do you prove that it is efficient?
- What is the mean of 10, 13, 11, 12, 12, 11, 8?
- The freshman class has 160 students. Each freshman must write three reports from a list of 12 novels that the teacher has assigned them to read. How many different combinations of novels can a freshman student choose to write reports on?
- A school band sold 30 raffle tickets, each labeled with a number from 1 to 30. One winning ticket will be drawn. What is the probability that the number of the winning ticket will be a multiple of 4 or the number 19?
- What is the probability that out of 245 booked reservations that exactly 224 people show up for the flight? What is the probability that no more than 224 people show up? How are these two probabilities different?
- In a hospital ward, there are 16 nurses and 5 doctors. 3 of the nurses and 3 of the doctors are male. If a person is randomly selected from this group what is the probability that the person is male or a doctor?
- What is the probability of having 2,3, or 4 successes in five trials of a binomial experiment in which the probability of success is 40%?
- A person visiting Las Vegas rolls the dice at a "craps" table and wonders what is the probability of rolling the dice 24 times without ever rolling a "7". Can the binomial distribution be applied to this situation?
- In how many ways can 6 graduates line up to receive their diplomas, if there are 4 girls and 2 boys and the girls will receive their diplomas first?
- A stack of cards contains 17 red cards and 9 black cards. What are the odds against drawing a red card?
- At Jefferson Middle School, 12% of the students play volleyball and 5% of the students play volleyball and basketball. What is the probability that a student that he plays volleyball?
- What is the mean, the median, and mode of the set of values: 17, 19, 22, 9, 18, 13, 24, 6, 25?
- A bag contains 3 yellow tennis balls and 4 green tennis balls. Gordy will select one tennis ball, put it in his pocket, and then select a second tennis ball. What is the probability he will get two green tennis balls?
- How many different 2-digit numbers can be made using the digits 3, 7, 8, 9, 2?
- You have 6 Scrabble tiles with different letters of the alphabet in a bag. If you select 3 tiles, how many distinct sequences can you form if the order matters?
- If #P(A) = .7, P(B) = .5#, and #P(B|A)=.4#, what is #P(A# and #B)#?
- What is the mean, median, interquartile range, and mean absolute deviation of the set 6, 1, 1, 3, 2?
- Let X be a Poisson random variable with mean = lambda : If P(X = 1 | X <= 1) = 0.8; what is the value of the mean (lambda) ?
- Ramla is making a mix CD. She can fit 6 songs on the CD, but has 11 favorite songs to choose from. If the order of songs is important to Ramla, how many different arrangements of 6 songs can she put on her CD?
- Suppose an experiment consists of randomly generating the digits 1-9. lf the experiment were repeated 90 times, how many times would you predict the generated digit to be odd?
- What is the mean of 17, 14, 3, 7, 24?
- In a group of 30 rabbits, 27 have brown fur, and three have white fur. What is the frequency of rabbits with brown fur?
- What is the median of 102, 108, 112, 120, 143, 149, 1150?
- Trucks versus cars. Consumers are turning to trucks, SUVs, and mini- vans in place of passenger cars. Here are data on sales of new cars and trucks in the United States. ?
- What is the median of the data set 98, 71, 75, 90, 92, 88, 63, 71, 99, 10, 73, 68, 76, 89, 83?
- Alyson has 15 shirts, 6 pairs of pants, and 8 pairs of shoes. How many possible outfits does she have?
- A standard number cube is tossed What is P(greater than 3 or odd)?
- The grade point averages for 10 randomly selected junior college students are 2.0, 3.2, 1.8, 2.9, 0.9, 4.0, 3.3, 2.9, 3.6, 0.8. Assume the grade point averages are normally distributed. What is the 98% confidence interval for the true mean?
- What is the mean of the numbers 21, 23, 76, 47, 55, 135, 45, 30, 17?
- Four different sets of objects contain 3, 5, 6, and 8 objects, respectively. How many unique combinations can be formed by picking one object from each set?
- How many three-letter combinations are possible using the letters D, E, F, G, and H?
- A license plate has two letters followed by three digits. What is the probability that the numbers on the license plate are all odd numbers?
- What is the mode for the sample 3, 2, 5, 7, 3, 2, 6, 4, 3, 7, 2, 4, 3, 5, 7, 5, 1, 2, 5, 3,7 ?
- A class consists of 40% men and 40% women. Blond men compose 25% of the class, and blond women make up 20% of the class. If a student is chosen at random and is found to be a male, what is the probability that the student is blond?
- A scientist wants to display the proportion of 250 geese that were male compared to the proportion that were female. What type of visual display should the scientist?
- The probability that a new spark plug is defective is 0.06. You need two new spark plugs. What is the probability that both spark plugs are defective?
- A trait has two alleles, represented by #p# and #q#. If #p=.35#, what is #q#?
- What is the value of the 30th percentile of the set of data: #18, 9, 7, 5, 11, 7, 17, 20, 19, 2, 17, 12, 5, 1, 13, 12, 11, 15, 16, 20#?
- In how many different ways can the positions president, vice president, and treasurer be chosen from the 18-member math team?
- A basket contains 8 pieces of fruit: 3 apples, 3 oranges, and 2 bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?
- A bag contains 4 red marbles, 6 blue marbles, and 8 green marbles. One marble is to be chosen at random. What is the probability that the chosen marble will be green?
- What is the standard deviation of the data set #78, 90, 456, 676, 111, 381, 21# rounded to the nearest tenth?
- What is the 66th percentile of the data set 24, 45, 52, 78, 90, 120, 34, 67, 111, 10?
- What is the regression equation based on the following?: {(1,2),(2,3),(4,2),(5,6),(8,7)}
- What is the minimum, maximum, and range of the data 30, 24, 8, 21, 35, 23, 23, 19, 13, 17?
- A car has 12 choices for outside color, 5 choices for interior design, 3 different tire packages, and 3 different engine sizes. How many different cars can be produced?
- What is the mode of the data set 3, 7, 9, 2, 5, 3, 4, 6, 1, 0?
- What is the standard deviation of the data set #87, 21, 90, 43, 54, 23, 123, 110, 90, 44,# and #50#?
- Assuming order is important, in how many ways can 2 tiles be chosen from a set of 4 tiles?
- Jim picked a card from a standard deck. What is the probability that Jim picked a heart or an ace?
- (7 points) The following is known. 2% of women have breast cancer. 80% of mammograms detect breast cancer when it is there (and therefore 20% miss it) 9.6% of mammograms detect breast cancer when its not there (and therefore 90.4% correctly return a negative result a) A woman was picked randomly was given a mammogram test. What is the probability that she will be tested positive? b) Suppose she was tested positive. What is the probability that she actually has breast cancer?
- There are 8 swimmers swimming in the finals of the men's 100 meter Freestyle. How many different ways can they finish?
- The class average on a math test was 84.5 and the standard deviation was 4.4. What is the approximate z-score for a test score of 94?
- Michael has 4 red shirts, 3 green shirts, and 5 blue shirts in his closet. If he randomly selects a shirt what is the probability that he chooses blue or red?
- Of the new cars in a car dealer's lot, 5 in 8 are white. Today, 10 cars were sold. What is the probability that 4 of the cars sold were white?
- 53% of all students participate in after school sports and 27% participate in both after school sports and music lessons. What is the probability a student participates in music lessons given that the student participates in after school sports?
- In a carnival drawing, a green ticket wins $1, a yellow ticket wins $5, and a blue ticket wins $10. There are 100 green tickets, 25 yellow tickets and 5 blue tickets. In simplest form, what are the odds in favor of winning $5 or more?
- In how many ways can 15 basketball players be listed in a program?
- The probability of a a particular manufactured product defective is #1/100#. How many defective products would be expected in a random sample of 1500 products?
- A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random. What is the probability that she selects an orange or a pear?
- What is the mean of the prices $8, $19, $7, $3, $3?
- Suppose #Q# and #R# are independent events. What is #P(Q# and #R#) if #P(Q) = 7/15# and #P(R)=4/7#?
- What is the interquartile range for the set of data 23.5, 22.1, 24.0, 28.6, 26.3, 29.2, 21.0, 22.7, 25.5, 22.3, 21.6?
- The arithmetic mean of a data set is 133. The set includes 131, 138, 130, and #a#. What is the value of #a#?
- What is #(""_7P_6)/(""_7P_4)#?
- A lunch menu has 4 different sandwiches, 2 different soups, and 5 different drinks. How many different lunches consisting of a sandwich, a soup, and a drink can you choose?
- You toss a coin and roll a number cube. What is P(heads and an even number)?
- Charlie noticed that most of the license plate numbers in his state have three letters, A through Z, followed by three digits, 0 through 9. How many different license plates can the state issue?
- 6 bananas are to be selected from a group of 8. In how many ways can this be done?
- Forty tickets are sold for a raffle with two prizes. You buy two tickets. What is the probability that you will win both prizes?
- Jordan makes 65% of his free throws in basketball. What is the probability that he will make the next two free throws?
- In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 28 vowels and 12 consonants, what is the probability you will choose a consonant and then a vowel?
- Suppose you toss a coin 100 times and get 64 heads and 36 tails. Based on these results, what is the probability that the next results in a tail?
- A standard number cube is tossed. What is P(greater than 2 or even)?
- In how many ways can 6 bicycles be parked in a row?
- How many distinct ways can the eleven letters in the word "TALLAHASSEE" be arranged?
- A total of 6 family members will appear in a portrait. If 4 of the family members may sit in the front row, how many combinations of family members may sit in the front row?
- What is the probability of rolling a number greater than or equal to 8 with the sum of two dice, given that at least one of the dice must show a 6?
- You toss 5 coins. What is the probability that all 5 show heads?
- What is the mode of the ages 10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16?
- A cube whose sides are numbered 1-6 is tossed twice. What is the probability of a prime number and a number that isn't an integer
- Suppose #S# and #T# are mutually exclusive events. What is #P(S# or #T)# if #P(S) = 1/3# and #P(T) = 5/12#?
- A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random from the bag. What is the probability that the marble drawn will not be blue?
- Ms. Lanette has 18 students in her class. She wants to send 3 of these students to pick up books for the class. How many combinations or 3 students can she choose?
- A somewhat disorganized hiker forgets to bring his insect repellant on 30% of his hikes. The probability of being bitten is 90% if he forgets the repellant and 20% if he uses the repellant. What is the probability that he will be bitten?
- Suppose a bag contains 4 white chips and 6 black chips. What is the probability of randomly choosing a white chip, not replacing it, and then randomly choosing another white chip?
- What is the probability of drawing a heart from a deck of cards?
- 5) A mathematics department compares SAT mathematics scores to performance in 5) calculus. The findings are summarized in the following table: Below 550 550 650 Above 650 Total 28 25 115 21 69 Below 101 180 55 300 Total 65 A ent is selected at random. Find the probability that the student makes a: (4 points each) a) grade of C or above b) grade of C or scored between 550 650 c) scored below 550 or above 650 d) grade of A or B or scored above 650
- A box contains 4 yellow tiles, 6 green tiles, and 10 purple tiles. Without looking, you draw out a tile and then draw out a second tile without returning the first tile. What is P(purple, then purple)?
- A six-sided cube is rolled. What is #P(6)#?
- You roll a blue number cube and a green number cube. What is P(a number greater than 2 on the blue cube and an odd number on the green cube)?
- You roll a number cube. What are the odds that you will roll an even number?
- How many different ways can 9 people line up for a picture?
- For a standard normal distribution, find the probability that z is between -1 and 2.3.
- How do you simplify #(""_12P_10)/(""_12P_2)#?
- A multiple choice test has 5 questions each with 5 possible answers. What is the probability of guessing all the questions correctly?
- A number is selected, at random, from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. What is P(odd)?
- Two number cubes are rolled. What is the probability of rolling a sum of 9 or a sum that is even?
- What is the number of ways to arrange 8 objects from a set of 12 different objects?
- You toss a coin five times and it lands heads each time. What is the probability that it will land heads up on the sixth toss?
- A bag contains 10 red marbles, 15 green marbles and 15 blue marbles. If Dashawn draws a marble from the bag, what is the probability that it is a red marble?
- How do you find the experimental probability of a compound event?
- What is the geometric mean of 275 and 11?
- You toss a coin and roll a number cube. What is P(tails and a six)?
- There are 3 red marbles in a bag of 12 marbles. A larger bag has a total of 26 marbles, including 7 red marbles. Are the chances of choosing a red marble from each bag the same?
- Holly wants to choose 5 different decorative tiles out of 8. If she plans to place the 5 tiles in a row, end to end, in how many different ways can she arrange them, from left to right?
- What is the probability of randomly selecting a card from a deck of a 52 card deck and having the card be a face card or an odd numbered card?
- How do you find the median for the set of data 25, 29, 32, 21, 41, 21?
- Q.11) If 4 factories in a group of 24 factories in a certain community are violating environmental regulations and 6 are randomly selected for inspection, what is the probability ? a. none of the violators will be selected for inspection b. all of the
- A total of 25 students have entered a spelling contest. There are 6 medals for first through sixth place that will be awarded. In how many different ways can the medals be awarded?
- Jessica received the following test scores in her Math class: 85, 40, 90, 98, 90, and 70. What is the mean and median for this data?
- A spinner has the numbers 1 through 9. The spinner is spun once. What is #P(3,6, 8)#?
- A recent study of 25 students showed that they spent an average of $18.53 for gasoline per week. The standard deviation of the sample was $3.00. What is the 95% confidence interval of the true mean?
- You have three $1 bills, four $5 bills, and two $10 bills in your wallet. You select a bill at random. Without replacing the bill, you choose a second bill at random. What is P($10 then $1)?
- In a hospital ward, there are 10 nurses and 6 doctors. 4 of the nurses and 3 of the doctors are male. If a person is randomly selected from this group, what is the probability that the person is female or a doctor?
- In how many ways can 4 people be seated in a row of 12 chairs?
- A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there?
- In how many different orders can you line up 4 cards on a table?
- A refrigerator contains 11 fruit: 5 lemon, 3 apple, and 3 orange. Abby is first in line for fruits. Telly is second. What is the probability that Abby will get a lemon fruit and Telly will get an orange fruit, if they are given fruits at random?
- In the survey, there is a margin error of +/-2%. What is the range of number of people who think tuition is too high at the university if 2004 of the 3421 students said it was and there are over 25,000 students at the university?
- From a group of 7 men and 5 women, a 4-person committee is to be chosen at random. What is the probability that it will have 2 men and 2 women?
- Students take an average of 45 minutes and standard deviation of 8 minutes to complete a certain statistics test. If a student is selected at random, what is the probability that student take more than 40 minutes to complete the test?
- 13In contract negotiations between a local government agency and its workers, it is estimated that there is a 50% chance that an agreement will be reached on the salaries of the workers. It is estimated that there is a 70% chance that there will be an agreement on the insurance benefits. There is a 20% chance that no agreement will be reached on either issue. Find the probability that an agreement will be reached on both issues. Based on this answer, determine whether the agreement on salaries and the agreement on insurance are independent events. Justify your answer.
- A library determines that its books are returned on time 90% of the time. If 450 books are checked out, what is the probability that more than 410 will be returned on time?
- Jack rolls a number cube twice. What is the probability that the sum of the 2 rolls is less than 8, given that the first roll is a 4?
- What is range of the data: 5, 3, 9, 10, 2, 12?
- A bicycle license plate requires 3 digits, each ranging from 0-9. How many different combinations are possible?
- What is the probability of at least 3 girls in 7 births?
- A license plate composed of 3 letters followed by 4 digits. How many different license plates are possible?
- The students in Mr. Trumbull's English class need to read 2 books from a list of 7 books. How many different combinations of books are possible?
- How do you calculate the mean, median, and mode of 7, 3, 2, 1, 13, 8, 1, 5, 14, 11, 15?
- On Mondays at Pizza Pan, you can choose two toppings at no extra cost for your pizza. The toppings are mushrooms, sausage, peppers, and extra cheese. How many different pizzas could you order?
- Marcos is doing a card trick using a standard 52-card deck. He shows his friend a card, replaces it, and then shows his friend another card. What is the probability that the first card is a club and the second card is not a heart?
- The heights of young women are approximately normal with mean 65 inches and standard deviation 2.5 inches. The heights of men in the same age group have mean (and median) 70 inches. ?
- You roll a number cube twice. What is the probability of rolling a 3 twice?
- The numbers of cookies in a shipment of bags are normally distributed, with a mean of 64 and a standard deviation of 4. What percent of bags of cookies will contain between 60 and 68 cookies?
- At Taft High School, 59% of all students participate in sports and 23% participate in both sports and volunteer activities. What is the probability that a student participates in volunteer activities given that the student participates in sports?
- What is the probability of randomly selecting a card from a deck of 52 and having the card be a heart with number on it or a spade with letter on it?
- There are 200 students in the 7th class at Manchester Middle School. Of these students, 22% play football and 12% play baseball. Eight students play on both teams. What is the probability that a student plays either football or baseball?
- The mean of a data set is 7.8, the mode is 6.6, and the median is 6.8. What is the least possible number of data values in the set?
- Suppose #A# and #B# are dependent events. If #P(A|B)=.25# and #P(B)=.8#, what is #P(AnnB)#?
- If the probability of winning a certain card game is 65%, what is the probability of not winning the game?
- Is #""_12C_9# greater than or less than #""_12C_7#?
- What is the mode of 10, 4, 13, 11, 12?
- A bag contains 6 cherry, 8 strawberry, and 9 grape flavored candies. What is the probability of selecting a grape or a strawberry flavored candy?
- Sienna tossed 10 heads when tossing a coin 24 times. What is the experimental probability of tossing heads?
- A bag contains 5 red marbles, 7 green marbles, and 3 orange marbles. What is the probability of drawing a red marble?
- The data can be modeled by the function "W=8.13d^3. Use this function to determine the weight of a sand pile that has a diameter of 7 feet.
- Word codes are formed by randomly rearranging the letters from the word IDENTITI. How many word codes can be formed with the three 'I's together?
- In many ways can 8 different cars parallel park along one side a street if there is room for all 8 cars?
- The weather forecast says that there is a 30 percent probability of rain. What are the odds in favor of rain?
- In how many ways can 6 books be arranged on a shelf?
- Dr. Sox drives through two stoplights on her way to work. The first light is green for 20 seconds out of each minute. The second light is green for 35 seconds out of each minute. What is the probability that Dr. Sox will hit two green lights?
- A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. What is the value that is -1 standard deviation away from the mean?
- John's average score on three tests is 87%. What is the least he can score on his fourth test so that his average grade will be at least 90%?
- A local restaurant sells sandwiches with 5 different choices for bread, 7 types of meat, and 4 types of cheese. You can also choose to add mayonnaise, mustard, both, or neither. How many different combinations are possible?
- Erin has 6 colors of ribbon: red, white, gold, green, blue, and purple. She makes bows from 3 different colors of ribbon. How many different combinations of colors can she choose?
- How do I obtain the #d_L# and #d_U# values for Durbin-Watson test for autocorrelation?
- Greg can select from 3 different phone types and 6 different cases. How many phone/case combinations can he choose from?
- A number is selected, at random, from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. What is P(even or prime)?
- When two balanced dice are rolled, there are 36 possible outcomes. What is the probability that the sum of the numbers on the dice is 6 or 11?
- Given the word 'Asasi'. how many ways can three of the letters be chosen and written in a row?
- The probability that a fibre, being tested, will break during the test is 0.2. If 400 are tested, use the normal approximation to a binomial distribution to find the probability that 100 or more out of the 400 will break?
- You roll a number cube twice. What is the probability of rolling an even number and a 5?
- A couple wants to have 3 kids. What is the probability all three kids are girls?
- Lenny rolls two number cubes. What is the probability that the sum of the the numbers Lenny rolls is either 4 or 7?
- You roll a number cube twice. What is the probability of rolling an odd number and a 2 or a 4?
- What is the probability of guessing the correct answer to a true-false question?
- What is the mean of 2, 4, 27, 34, 40, 31?
- Andy has grades of 84, 65 and 76 on three math tests. What grade must he obtain on the next test to have an average of exactly 80 for the four tests?
- A jewelry box contains two gold hoop earrings and two silver hoop earrings. You randomly choose two earrings. What is the probability that both are silver hoop earrings?
- If the probability of an event occurring is #1/4#, what is the probability of its complement?
- What is the median of 5, 7, 7, 10, 13, 31, 35, 35, 38, 40, 45?
- A student test scores are 87, 95, 76, and 88. He wants an average of 85 or better overall. What is the minimum score he must get on the last test in order to achieve that average?
- What is the number of unique possible screen names if Gaga wants to use the arrangement of her first name followed by arrangements of the year of her birth 1986?
- How many different three-person relay teams are possible with four people?
- A set of 5,000 on a college readiness exam are known to be approximately normally distributed with mean 72 and standard deviation 6. To the nearest integer value how many scores are there between 63 and 75?
- The theater has 175 seats. There are 7 seats in each row. How many rows are there?
- What is the median of the set of numbers: 127, 135, 142, 127, 109, 164, 155, 184, 155, and 169?
- If four friends buy tickets to a concert with assigned seats, how many different ways can they be arranged in those four seats?
- A bowl of fruit is on the table. It contains six apples, two oranges, and four bananas. Daniel and Sean come home from school and randomly grab one fruit each. What is the probability that both grab oranges?
- Jennifer has the following data: 17, 7, 5, #n#. If the mode is 17, what number does #n# have to be?
- Locker combinations are not really "combinations". Use the standard right-left-right combination with possible numbers 0 through 39, how many different locker combinations are possible?
- You roll a standard number cube once. What is #P(0)#?
- Suppose a die is rolled 400 times and a 5 is rolled is 60 times. How do you calculate the experimental probability of rolling a 5 based on this data?
- A coin is flipped 18 times, and it comes up tails 12 times. What is the experimental probability of the coin's coming up tails?
- What is the standard deviation of {7, 2, 4, 6, 8, 11}?
- Two cards are drawn at random from a standard deck of 52 cards. What is the probability that both cards are aces?
- The average of #x# and #y# is #5# and the average #x, y,# and #z# is #8#. What is the value of #z#?
- From 8 names on a ballot, a committee of 3 will be elected to attend a political national convention. How many different committees are possible?
- How many different arrangements can be made with the letters from the word SPACE?
- George put some cards into a basket. Then, he drew 3 cards out of the basket. ls this a random sample of the cards in the basket? Why or why not?
- The probability that Tara receives spam e-mail is 15 percent. If she receives 80 e-mails in a week, about how many of them can she expect to be spam?
- You have a coin which is loaded so that the probability of tossing heads is .55. If you toss the coin three times, what is the probability that you will obtain three heads?
- Let the random variables X and Y have the joint pmf #f(x,y)=(x+y)/32#, #x=1,2#, and #y=1,2,3,4#. What are the means #mu_x# and #mu_y#, the variances #sigma ""_x^2# and #sigma "" _y^2#, and the correlation coefficient #rho#?
- Chrissy has 4 white towels, 2 yellow towels, and 3 blue towels in a bag. What is the probability that the first towel chosen at random from the bag will be white?
- In how many ways can five models line up to have their photograph taken?
- Two dice are rolled together and X is the highest score minus the lowest score of the dice. What are the possible values of X?
- What is the geometric mean of 8 and 18?
- Geoff needs to create a password for his E-mail account. The password must have three letters. How many different passwords can he make?
- What is the probability of tossing a penny and landing on heads three times in a row?
- A time for the 100 meter sprint of 14.9 seconds at a school where the mean time for the 100 meter sprint is 17.6 seconds and the standard deviation is 2.1 seconds. What is the z-score for this observation?
- Ajar of tickets for a drawing contains 63 winning tickets and 22 non-winning tickets. What are the odds against winning in the drawing?
- Jonathan's math test scores were 87, 93, 85, 62, and 95. What was his mean score?
- A person is chosen at random from a room that contains 24 men and 26 women. What is the probability that a woman is chosen?
- If John's bowling scores were 120, 144, 143, 111 and 167, how do you find his average score?
- What is the average deviation of #1.76, 2.28, 1.90#?
- Michael has a drawer with 8 pairs of black socks and 12 pairs of white socks. Without looking he takes a white pair of socks out of the drawer. What is the probability that the next pair he takes out is white?
- In a normal distribution of 100, what percent of scores would be expected to find between z=1.30 and z=1.90 ?
- The pies sold 869 pies during the month of January. What was the mean number of pies sold per day?
- If Evelina's bowling scores were 133, 155, 176, and 132, how do you find her average score?
- How many 5-digit numbers can be formed (using 0-9)?
- The plant produces 1200 packages of grapes. An inspector randomly chooses 24 packages and discovers that 8 of the packages have broken seals. How many of the 1200 packages of grapes would you expect to have broken seals?
- A fan of country music plans to make a custom CD with 11 of her 28 favorite songs. How many different combinations of 11 songs are possible?
- In a basket of rambutans and bananas ,70% of rambutans and 60% of the bananas are ripe.If 40% of the fruits in the basket re rambutans.find the probability of the fruits which are ripe.Find probability of rambutans given the fruits are ripe?
- Two non-simultaneous events have an equal likelihood of occurring (50%). lf the events are independent of each other, what is the probability that they will both occur?
- Why is the standard deviation an important measure of variance?
- Jennifer's 6 test scores in her mathematics class are 87,72,94,82, and 85. What is the minimum she can score on her next 100 point test to get a test average of at least 90%?
- You draw two cards from a standard deck of 52 cards, but before your second card, you put the first one back and reshuffle the deck. Are the outcomes on the two cards independent?
- G b l y e I l in a sentence
- In a class test where the mean was 62% and the standard deviation 12.6%, Jan received 74%. What is her result a a z-score?
- You are currently testing the probability of flipping a coin. So far you have flipped the coin 20 times, and got heads 13 times. What is the relative frequency of heads?
- A medical researcher says that less than #25%# of US. adults are smokers. In a random sample of #200# US. adults, #18.5%# say that they are smokers. At #alpha = 0.05#, is there enough evidence to reject the researchers claim?
- Jess owns 4 red shirts, 2 blue shirts, and 3 white shirts. She chooses a shirt to wear at random. What is the probability that she chooses a white shirt?
- What is the median of this set of data: 86, 72, 65, 82, 91, 94?
- A student guesses on three questions on a multiple choice test with answer choices A,B,C,D. What is the probability of getting all three questions correct?
- What is the probability of choosing a red marble from a jar containing 5 red, 6 green, and 4 blue marbles?
- Of the 34 cars in a parking lot, 20 are green, 8 are gold, and the rest are black. What are the odds of the next car leaving the lot being black?
- A number cube is rolled 30 times, and a six comes up 5 times. What is the experimental probability that a six is rolled?
- Two 6-sided dice are rolled. What is the probability that the sum of the two numbers will be greater than 8?
- What is the probability of not tossing three heads with three fair coins?
- The Thomas family spent $200 on groceries, $240 dining out, and $40 on school lunches last month. Their monthly income is $6,000. How many degrees in a circle graph would their food budget require?
- A spinner has equal sections numbered 1-8. If you spin the spinner once, what is the probability that you will not get a 5?
- At a medical clinic, the average waiting time for the first 10 patients was 15 minutes and the next 15 patients, 20 minutes. What was the average waiting time for all the patients?
- A jar contains nine black buttons and two brown buttons. If nine buttons are picked at random, what is the probability that all of them are black?
- Joe has homework assignments for Math, Spanish, and History. In how many different orders can he do his homework?
- A dryer contains 8 black socks, 6 blue socks, 10 white socks, and 4 gray socks. If Martha reaches into the dryer, what is the probability that she will choose 2 white socks without replacing the first sock?
- There are 12 standbys who hope to get on your flight to Hawaii, but only 6 seats are available on the plane. How many different ways can the 6 people be selected?
- A vegetable garden is 12 meters long by 7 meters wide. It is home to 168 mice. What is the population density of the mice?
- Last year an accounting firm paid each of its five clerks $25 000, two accountants $60 000 each, and the firm's owner $225 000. a) What is the mean salary paid at this firm? b) How many of the employees earn less than the mean?
- A restaurant's menu contains 3 appetizers 5 main dishes, and 2 desserts. How many different meals can be ordered?
- You are scooping ice cream as part of your training at an ice cream shop. The weight of the scoop must be 4 ounces with an absolute deviation of .5 ounce. What is the maximum and the minimum amount of ice cream that are acceptable?
- Sarita flipped a fair coin and it landed showing heads 30 times out of 50. What is the theoretical probability of getting heads the next time?
- What z score value seperates the top 70% of a normal distribution from the bottom 30%?
- What is the mean and range of 18, 23, 10, 39, 22, 17, 16, 15?
- If a coin and a die are tossed, what is the probability of getting a head on the coin and an even number on the die?
- The probability that it rains is 1/5. the probability that there will be heaby traffic jam is 1/20 if it rains and 1/50 if it does not rain.Find the probability that it rains if there is a heavy traffic jam ?
- A box contains 3 red balls and 4 green balls. If two balls are randomly selected in sequence, what is the possibility that a red ball and a green ball are picked out of the box?
- A bag of 33 tulips contains 13 red tulip bulbs, 11 yellow tulip bulbs and 9 purple tulip bulbs. What is the probability that two randomly selected tulip bulbs are both red?
- What are the two types of probability. How are they different?
- A sample of #n=25# scores has #M=20# and #s^2=9#. What is the sample standard deviation?
- What is the range for the set of data: #22, 36,7, 19, 56#?
- How do you find the mean?
- You are on your way to Hawaii and of 15 possible books your parents say you can take 10. How many different collections of 10 books can you take?
- The probability that Ann passee statistics test is 5/7 and the probability that she passee economic test is 3/7.If the probability of passing at least one course is 6/7,what is the probability that she will pass both test?
- How do I find the z-scores for which 25% of the distributions area lies between -z and z?
- What are the minimum, first quartile, median, third quartile, and maximum of the following data set?: 37, 42, 44, 46, 47, 49, 51, 53, 54, 55, 57, 61, 63
- What to do if a problem has a non-tabled degrees of freedom?
- In a casino game based on a six-sided die, you have to pay the owner of the casino table $8 if the number on the die is even. What is the maximum amount that the table owner can make if he rolls the die 60 times?
- What are the odds against getting three tails when you flip three coins?
- If 12 students run in a class election where each student running can be elected to one of three positions, how many different outcomes are there for President, Vice President and Secretary?
- At a certain hospital, 40 patients have lung cancer, 30 patients smoke, and 25 have lung cancer and smoke. Suppose the hospital contains 200 patients. If a patient chosen at random is known to smoke, what is the probability that patient has lung cancer?
- If you select one of 6 differently numbered cards and roll a 6-sided number cube, how many possible outcomes are there?
- What is the geometric mean of #2/3# and #216#?
- The probability of rain and hail during a storm is 16%. The probability of only rain is 78%. What is the probability of hail given that there is already rain?
- J. Michael has a bag of 23 pieces of dried fruit. The bag contains l0 banana chips. What the probability that J. Michael will choose a banana chip when he reaches into the bag?
- You pick a card from a shuffled pack and draw a king. You put it back in the pack, shuffle, and then pick another card. This time you draw a queen. How are the two events of picking a king and picking a queen related?
- 8 of the 40 newly built cars are selected at random to be checked for steering defects. Suppose 10 of the cars have such defects. What is the probability that all 8 of the selected cars have steering defect?
- A number cube is labeled 1 through 6. What is the probability of rolling a number that is divisible by 3?
- Given the following least squares prediction equation, y^ = -173 + 74x we estimate y to By with each 1-unit increase in x
- How many ways are there to choose a card from a deck of cards (52 cards in a deck) and roll a regular 6-sided number cube?
- 2m white counters and 2n red counters are arranged in a straight line with (m+n) counters on each side of a central mark. How many of the arrangements are symmetrical with respect to this mark?
- There is 1 first prize of a car, 5 second place prizes of $1000, and 20 third place prizes of $100. lf there are 2000 entries, what is the chance that you will win one of the 2nd place prizes?
- If Debbie has 3 blouses and 4 skirts, how many different outfits of a blouse and skirt can she wear?
- A bag contains 10 red marbles, 5 gray marbles, 12 black marbles, and 8 white marbles. Two marbles are randomly drawn from the bag without replacement. What is the probability of drawing a black marble followed by a red marble?
- A bag contains 3 red, 5 yellow, and 7 purple marbles. What is the probability of drawing a purple marble followed by a red marble?
- If you roll a die what is the probability getting a number greater than 2?
- For some civil cases, at least 10 of twelve jurors must agree on a verdict. How many combinations possible on a twelve-person jury?
- Is it possible for the median of a distribution to be more than one standard deviation from the mean?
- If a fair coin is tossed 6 times, what is the probability to get exactly 2 heads? at most 2 heads?
- At a convention there are 7 math instructors, 5 computer science instructors, 3 statistics instructors and 4 science instructors. If an instructor is selected at random, what is the probability of selecting a math or science instructor?
- Suppose an experiment consists of tossing two fair coins. If the experiment were repeated 100 times, how many times would you predict one coin would land on heads and the other on tails?
- A spinner has 8 equal sections. If you spin the spinner twice, what is the probability that you will get a 4 the first time and a 7 the second time?
- Twenty percent of all customers at Max's Grocery Store write checks. A sample of 121 customers is taken. The probability that 33 or fewer customers wrote checks is what?
- A card is drawn at random from a standard deck of 52 playing cards. What is the probability that the card is black or a face card?
- Of the 30 cars in a parking lot, 12 are blue, 8 are red, 6 are white, and 4 are silver. In simplest form, what are the odds in favor of a red or white car leaving first?
- You are shopping and your roommate asked you to pick up toothpaste and shampoo. However, he did not tell you which brand to buy. What is the probability that you will purchase the correct brands for both products?
- A toy company is making name plates for children. They will only use 6 spaces, and include only letters. How many combinations are possible?
- The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. The probability of a player weighing less than 250 pounds is what?
- Two tetrahedral dice with faces marked 1,2,3 and 4 are thrown. The score obtained is the sum of the numbers on the bottom face. Tabulate the probability distribution for the score obtained,how?
- What is the probability of getting a sum of either 7, 11, or 12 on a roll of two dice?
- The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. What is the minimum weight of the middle 95% of the players?
- The mean age of 5 people in a room is 30 years. A 36 year old person walks in. What is now the mean age of the people in the room?
- Which of the mean,median and mode of a list of numbers must always appear as one of the numbers in the list ?
- Consider the small set of data: 8,4,1,9,1,5. a) How to find the mean,median and mode of these data. b) How would they change if you subtracted 1 from each data ? c) How would they change if you add 2 from each data ?
- A survey of University students in 2001 asked what field they plan to study. The result : 12.6% arts and humanities; 16.6% business; 10.1% Journalism; 18.6% engineering ; 12.0% professional; and 10.3% social science. How to draw a Bar Graph ?
- If a sample can be divided in #n# equal groups, is the mean of the groups equal to the mean of the whole sample?
- Katie has 8 black marbles, 12 clear marbles, and 14 blue marbles in a bag. If she picks one at random, what is the probability that she will pick a black marble?
- You have one penny, one nickel, one dime, and one quarter. You select two coins at random. What is the probability that you will have exactly $0.15?
- Suppose X is a discrete random variable and k is a constant. If E(3X+k)=26 and E(2k-X)=3 , what is E(X)?
- You have a coin which is loaded so that the probability of tossing heads is .20. If you toss the coin three times, what is the probability that you will obtain three heads?
- When you roll two number cubes, what are the odds in simplest form against getting two numbers greater than 4?
- A container has 50 electronic components, of which 10 are defective. If 6 components are drawn at random from the container, what is the probability that at least 4 are good?
- A random sample of 16 students showed an average age of 25 years and a standard deviation of 2 years. The 98% confidence interval for the true average age of students is what?
- What is the probability of rolling a 2 on a six-sided die? What is the probability of rolling two 2s on two six-sided die?
- In terms of static electricity,would it be better to wrap a sandwich in plastic wrap or wax paper ?
- If two coins are tossed, what is the probability of getting one head and one tail?
- The following list gives the number of siblings for each of 13 students: 3, 2, 4, 4, 1, 3, 2, 0, 1, 3, 2, 2, 4. What are the modes of this data set?
- Which expression is equivalent to the total numbers of outfits made by 1 shirt, 1 pair of pants and 1 pair of shoes? There are 3 shirts, 3 pair of pants, 3 pairs of shoes.
- Tommy is making a greeting card on his computer. He can choose 1 of 4 backgrounds, 1 of 7 photos, and 1 of 6 text colors. How many ways can Tommy make a greeting card?
- Jeremy Lin can hit a free throw 81% of the time. Suppose that every free throw is an independent event. In a 10- free throw practice, what is the probability that Jeremy Lin will hit all 10 shots?
- How can I interpolate a value of y based on a value of x with the following linear regression model: #y=.738X-16.22#?
- A set of data contains 200 elements. How do you find the median of the data?
- The 16th percentile of a Normal distribution is 25 and the 97.5th percentile is 40. What is the best estimate of the mean and standard deviation of the distribution?
- What is the total number of possible 5-letter arrangements of the letters E, X, P, O, and S, if each letter is used only once in each arrangement?
- You want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability that a randomly chosen code starts with A?
- What is the standard deviation of {77, 26, 41, 26, 84, 21}?
- You have 4 of meats, 3 types of cheeses, and 2 types of bread to choose from. How many different sandwiches can you order if you can only choose one meat, one cheese and one bread?
- There are 6 red marbles, 7 green marbles, 5 orange marbles, and 3 purple marbles in a jar. If you pick one marble what is the probability of not picking green or purple?
- DeAnna has 4 quarters, 3 dimes, and 3 nickels in her purse. She reaches into her purse and randomly grabs two coins, one at a time. What is the probability DeAnna will first grab a quarter and then, without replacing it, grab a nickel?
- Katifs grades on five math quizzes are 9, 7, 10, 6, and 10. What is the median of his quiz grades?
- A spinner with 6 equal sections numbered 1-6 is spun 3 times. What is the probability of landing on three each time?
- What is the mean of 6.1, 5.9, 4.2, 5.9, and 10.7?
- What is the mode of the following: 14.8, 16.3, 8.8, 12.3, 8.1? Is there a mode?
- If M and N are two events such thqt P(N)=3/5, P(N|M)=2/3 and P(M'UN')=19/25. (a) Find P(M) (b)P(M|N)?
- The lifetime of a car tire is normally distributed. The mean lifetime is 50,000 miles, with a standard deviation of 5,000 miles. Of a random sample of 15,000 tires, how many of the tires are expected to last for between 45,000 and 55,000 miles?
- Golf scores for a country club member are: 72, 71, 70, 70, 70, 69, 69, 69, 69, 69, 68, 68, 68, 67, 67. What are the mean, median, and mode, in that order?
- A software company is hiring for two positions: a software developer and a sales operations manager. How many ways can these positions be filled if there are 17 people applying for the developer position and 15 people for the sales position?
- How do you create a box plot using the data 40, 25, 20, 15, 40, 40, 45, 10, 52, 34, 38?
- Fifteen percent of all students at a large university are absent on Mondays. If a random sample of 12 names is called on a Monday, what is the probability that all students are present?
- Mary chooses an integer at random from 1 to 6. What is the probability that the integer she chooses is a prime number?
- Friday night Joe decided to order a 1-topping pizza. He had a choice of thin or thick crust and a choice of five toppings. How many different pizzas could he choose from?
- A number cube is rolled 24 times and lands on 2 four times and on 6 three times. What is the experimental probability of landing on a 2?
- When 339 college students are randomly selected and surveyed, it is found that 111 own a car. How do you construct a 95% confidence interval for the percentage of all college students who own a car?
- What is the probability of rolling a fair die and not get an outcome less than 3?
- Mr. Shenton received scores of 58, 72, 74, 92, 84, 40, 74, 81, 76, and 83 on his exams. What is the median score?
- Clarissa has 6 red socks, 4 black socks, 10 white socks, and 2 blue socks in a drawer. What is the ratio of black socks to the total socks?
- At noon each day, Mark took temperature readings 13, 15, 25, 17, 19, 20, and 33 degrees. What is the median of the temperatures?
- A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel in the bus. How many ways can the students be seated if all the first-grade students occupy the first 3 rows?
- The probability of event A occurring is 50%, and the probability of event B occurring is 25%. Events A and B are nonsimultaneous events. What is the probability that event A occurs but event B does not occur?
- The probability distribution function of a discrete random variable X is defined as P(X=x) = x/6 for x= 1,2,3. Find the cumulative distribution function of X?
- In how many ways can the letters of the word FACTORING be arranged without changing the order of the vowels a, o, i?
- A card is chosen at random from a deck of 52 cards. It is then replaced and a second card is chosen. What is the probability of choosing a Jack first and a 3 second?
- Sarah has a bag of 10 marbles. In this bag of marbles there are: 3 red 2 green 1 lavender 2 yellow 2 orange. How many sets of 4 marbles contain a red marble?
- What is the probability of drawing a 4 and then a 5 and then a 6 from a deck of 3 cards without replacement?
- Two friends are taking an English class that has a monthly reading list. If there are 3 mystery and 4 romance books left, what is the probability that both friends randomly select different romance books, one after the other?
- Of the water lilies in the pond, 43% are yellow. The others are white. A frog randomly jumps onto a lily. What is the complement of the frog landing on a yellow lily and its probability?
- You toss a coin 300 times and get 258 tails. What is the relative frequency probability?
- There are two yellow marbles, three red marbles, and five blue marbles in a bag. What is the probability of drawing two yellow marbles if the first one is placed back in the bag before the second draw?
- If the probability that Tom will go for a run is 0.6, what is the probability that he will NOT go for a run?
- State the cases when Histogram is used as an efficient technique for representing the data?
- Alice has 6 dresses, 2 coats, and 3 hats. How many different outfits can she wear consisting of a dress, a coat, and a hat?
- What is the median of 14.8, 16.1, 4.8, 12.1, and 6.9?
- Two cards are randomly chosen from a standard deck of 52 playing cards without replacement. What is the probability both cards will be hearts?
- How many arrangements of two letters can be formed from the letters O,L,Y,M,P,I,C,S if each letter is used only once in each arrangement?
- When a fair tie is tossed, what is the probability of getting a number divisible by both 2 and 3?
- A software package for creating digital photographs of suspects contains 195 hairlines, 99 sets of eyes and eyebrows, 89 noses, 105 mouths, and 74 chins and cheek structures. How many different faces can the software create?
- Suppose Z has a normal distribution with a mean of 0 and a standard deviation of 1. The probability that Z values are larger than (?) is 0.3483.
- Normal distribution?explain the use in real life?
- The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. What percentage of items will weigh at least 11.7 ounces?
- A letter is chosen from the eight letters in the word "SAVANNAH." What is the probability the letter is an A or an N?
- If you separate all the clubs from a deck of cards and pick 3 of those 13 cards, what is the probability that the cards are jack, queen, and king in ascending or descending order?
- You draw two cards from a standard deck of 52 cards, but before your second card, you put the first one back and reshuffle the deck. What is the probability of drawing a 10 and a 3 in either order?
- Let Y be a random variable representing the event that the number '3' is obtained when a pair of dice are tossed together.Show that Y is a discrete probability distribution function?
- There are 3 boys and 6 girls in a committee. 4 students are to be selected from the committee at random.Find probability that the chosen students are 2 boys and 2 girls given that at least one student is a boy?
- You have a bag containing 26 tiles, each imprinted with one letter of the alphabet. You pick out 5 tiles, what is the probability that they are a, e, i, o, and u in that order?
- There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what is the probability of selecting a team of 5 girls and 5 boys?
- You have a box containing 6 white, 4 red, and 8 black marbles. You pick a marble and it is red. You then pick a white marble. On the third attempt, you pick a white marble again. What the chances that on the fourth try you will pick a black marble?
- X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that X is less than 9.7 is what?
- Find the number of ways to arrange all the letters from the word 'MATHEMATICS' in a row if C and S must be separated (answer=4536000)?
- There are 3 boys and 6 girls in a committee. Four students are to be selected from the committee at random. What is the probability that the chosen students are two boys and two girls given that at least one student is a boy?
- "There are three kinds of lies : lies, damned or white lies and statistics"- explain?
- How many different arrangements of 5 letters can be made using the letters in the word "FLOOR"?
- What is the median of 56, 78, 92?
- You have a bag with 4 pairs of socks. There are 2 red pairs and 2 black pairs You pull a sock from the bag and put it back 3 times. What's the probabilty that you pull out a red sock each time?
- Probability that Amy sleeps late is 0.3.probability that she will be late for lecture if she sleeps late is 0.8.If she does not sleep late ,the probability that she will be late for lecture is 0.4.What is the probability that Amy will be late for lecture?
- Five essay questions are on a test. Each student must answer three. How many different combinations of three questions can be chosen?
- Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible selections are there?
- There are 3 white marbles and 7 blue marbles in a bag. Jamie will randomly pick two marbles out of the bag without replacing the first marble chosen. What is the probability of Jamie picking two biue marbles?
- What is the value of #""_5P_1#?
- What is the total number of possible 5-letter arrangements of the letters D, I, S, C, and O, if each letter is used only once in each arrangement?
- In a fish tank, there are 24 goldfish, 2 angel fish, and 5 guppies. If a fish is selected at random, what is the probability that it is a goldfish or an angel fish?
- A credit card company randomly 9 generates temporary four digit passcodes for cardholders. Serena is expecting her credit card to arrive in the mail. What is the probability that her pass code will consist of four different odd digits?
- What is the probability of having three girIs in a row in one family? What is the chance of having a fourth girl?
- What is the mean of 158, 213, 107, 213, and 213?
- A boy has 3 shirts, 2 pairs of slacks, and 3 pairs of shoes. What is the total number of possible outfits he can wear consisting of a shirt, a pair of slacks, and a pair of shoes?
- How many arrangements can 4 women and 4 men be placed in a line if all the women line up first?
- A sock drawer has 8 blue socks and 6 black socks. If I randomly select two socks, one at a time, what is the probability l will first get a blue sock and then, without replacing it, a black sock?
- In how many different ways can 4 students be arranged in a row?
- What is the t* confidence interval?
- A bag contains 4 red marbles and 5 blue marbles. If two marbles are chosen at random, one at a time and without replacement, what is the probability of getting two red marbles?
- Kayleen flips a coin and it lands on tails. She says that next time it will be heads for sure. Is Kayleen right or wrong?
- How do you express the conﬁdence interval #0.111 < p < 0.333# in the form #p +- E#?
- Akemi's scores in the diving competition were 7.9, 8.3, 8.1, 7.8, 8.4, 8.1, and 8.2. The highest and lowest scores were not counted. What was the average of the remaining scores?
- How many different three-member teams can be formed from six students?
- Individuals who have a certain gene have a 0.48 probability of contracting a certain disease. Suppose that 1,863 individuals with the gene participate in a study. What is the standard deviation of the number of people who eventually contract the disease?
- How many possible outcomes are there when flipping a coin 10 times?
- If a family has 3 children what is the probability that they have two boys and a girl in any order?
- To win a particular lottery game a player chooses 5 numbers from 0 to 63. If all five numbers that the player selected match the winning numbers in any order, then the player wins. What is the probability that the winning numbers are 7, 0, 29, 45, and 60?
- What is the significance of the median in a statistical analysis?
- How many words can be formed from the letters of the word 'computer' if each letter is to be used once?
- A standard die is rolled 4 times. What is the probability of rolling two 1s, one 2, and one 3?
- Imagine tossing a fair coin 3 times. What is the sample space for this chance process, and what is the assignment of probabilities to outcomes in this sample space?
- A random sample of 40 part-time workers has a mean annual eamings of $3120 and a population standard deviation of $677. What is the 95% confidence interval for #mu#?
- Jill has 15 pictures in her photo album. Three of the pictures are of flowers. If Jill randomly selects two pictures (without replacement), one after the other, what is the probability that Jill will select two pictures that are of flowers?
- What is a linear regression equation?
- Approximately 80% of the students who take statistics pass the class. If 12 people take the class, what is the expected value and standard deviation of the number of people who pass the class?
- How do you express the conﬁdence interval #0.111 < p < 0.333# in the form #p +- E#?
- In a bag of M&M's you have 8 reds, 10 browns, 6 yellows, and 6 greens. What is the probability of picking a red, then a brown, then a green, and then a yellow M&M?
- What are the odds of rolling a number less than 3 when a fair die is rolled?
- Trevor bought 3 new pairs of jeans and 2 new sweaters for school. How many different clothing combinations can he make?
- Casle, Matthew, Nick, Breayn, and Monika are all running for the president, vice president, and secretary for the Spanish Club. How many possible ways can these students be chosen for the positions?
- If you roll 2 dice with numbers 1 through 6 on the sides, how many total sums could you get adding the numbers together on each face?
- A survey of 144 retail stores revealed that the average price of a microwave was $375 with a standard error of $20. What is the 80% confidence interval of the true average price of the microwave?
- Suppose you are playing a six-sided die. What is the probability that when you roll a number less than 3 and then a number greater than 3?
- An election ballot ask voters to select four city commissioners from a group of 15 candidates. In how many ways can this be done?
- There are 98 ﬂowers in the bride's bouquet. If 25 of the ﬂowers are roses, approximately what percent of the flowers in the bouquet are not roses?
- A vending machine is configured to accept those coins with weights between 5.733 g and 5.893 g. If 270 different coins are inserted into the vending machine, what is the expected number of rejected coins?
- How many no. of ways to arrange all the letters from the word'MATHEMATICS' in a row if C and S must be seperated?
- If there are 5 different games to buy and you only want to buy 3, how many combinations are there?
- F two cards are drawn without replacement from an ordinary deck, what is the probability that the second card is red, given that the first card was a heart?
- If 2% of the batteries manufactured by a company are defective, what is the probability that in a case of 144 batteries, there are 3 defective ones?
- Let Y={a,b,c,d,e,f,i,j} and a 4letter word is to be formed without replacement.How many words can be formed if the word must contain both vowels and consonants?
- Playing a game that involves six-sided die. What the indicated probability if you roll an even number and then an odd number?
- What is mean and standard deviation of the following data: 2, 4, 7, 10, 12?
- Can we use Pearson Correlation to determine relationship between two different groups?
- 5 girls and 2 boys are arranged in a straight line for several photographs to be taken. How many different arrangement are possible if (a)there are no restrictions(b) the boys must be separated?
- What are the consequences of making a type I or a type II error?
- In how many different ways a set of five marbles – two white and three black, can be chosen from two barrels containing five black marbles and five white marbles respectively and labeled 1..5 each?
- What are the variance and standard deviation of {49, 49, 52, 53, 58, 62, 68, 75}?
- What is the mean of the numbers: #-5, -6, -2, 0, 3#?
- There are 5 Red, 5 green, and 5 blue cubes in a bag. How many color combinations can be made from a single drawing of 5 random cubes?
- A piggy bank contains a certain number of coins, of which 53 are dimes and 19 are nickels. The remainder of the coins in the bank are quarters. If the probability of randomly selecting a quarter is #1/4#, how many quarters does the bank contain?
- A local department store said that 5% of their customers have a balance at more than $59. The standard deviation is $12. What is the mean balance?
- What are the consequences of making a type I or a type II error?
- What is the difference between modal and median value of the following set: {20.0, 20.4, 21.6, 20.8, 22.2, 19.4, 20.6, 21.3, 19.0, 20.6, 19.9, 19.3, 20.3, 20.9, 20.1, 19.5}?
- A camera's flash mechanism fails on 14% of shots. If 20 shots are taken using the ﬂash, what is the probability that the ﬂash fails exactly twice?
- If you test a hypothesis and reject the null hypothesis in favor of the alternative hypothesis, does your test prove that the alternative hypothesis is correct? Explain.
- Past ﬂu cases in the Remulak school system #(n = 500)# were 15 per week. For the entire state, the weekly average was 16 and the standard deviation was 15.1. Are the kids in Remulak as sick as kids throughout the state?
- How do you determine the p-value of a test statistic?
- If a group of data has a mean of 9 and a standard deviation of 2.5, what is the interval that should contain at least 93.8% of the data?
- What are the differences between using z-scores and a hypothesis test with a t-statistic?
- A random sample of size 36 is to be selected from a population that has a mean of μ = 50 and a standard deviation of 10. What is the standard score for a sample value of 40?
- A fair die is tossed once. Let the event {A} is getting an even number, the event {B} - number 2 #>=# 3. How do you find P(A U B), P(A/B)? Are the events A, B dependent or not?
- If you roll a regular 6-faced die 1200 times, about how many times would you expect to get a 4?
- A president and vice president will be selected from 8 members of a club. In how many ways can these officers be selected?
- How many people died of ebola in the last year?
- If you roll a die #100# times and get #15# ones, what is the probability that the die is not fair? What about if you get #5# ones?
- What are type I and type II errors?
- What is the level of significance of a test of hypothesis?
- What is the hypergeometric distribution and how does ıt use ?
- Q.8) If we roll a balanced die, what are the probabilities of getting? a. a 3 or a 5 b. an even number
- If a sample size is sufficiently large, should the mean and median significantly differ?
- A binomial experiment consists of 39 trials. Each trial has a .65 probability of success. What is the mean, variance, and standard deviation of this experiment?
- A contractor has a 0.05 probability of making 200,000, a 0.5 probability of making 14,000, a 0.02 probability of losing 1,100,000, and a 0.43 probability of breaking even. What is the contractor‘s expected value?
- A linear regression equation for a data set has a correlation coefficient of r=0.4. Would you be conﬁdent using your equation to predict what will happen outside of the data set?
- A shooter shoots three times, independently. The probability of hit the target in the first try is 0.7, in the 2nd try is 0.5, and in the 3rd try is 0.4. Let X be the discrete random variable representing successful shots. Find P(X=0) ; all shots miss?
- Suppose that X is a discrete random variable with probability mass function p(x) = cx^2; x = 1; 2; 3; 4: (a) Find the value of c: (b) Find E(X)?
- In how many ways can 6 students be arranged to a row of 6 seats? 4 seats?
- Tom scored 15 points one day, 19 points the next day, and 3 points the third day. What was the average number of points Tom scored each day?
- A data set is comprised of 2985 measurements that is bell-shaped with a mean of -924. It has a standard deviation of 20. What percentage of the data should lie between -964 and -924?
- Two balls are drawn from the bag containing 7 black and 5 white balls. What is the probability that each is of the same color? of a different color?
- If every person in a room shakes the right hand of every other person in the room, there are 36 possible handshakes. How many people are in the room?
- Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean #mu = 187# days and standard deviation #sigma = 10# days. What is the probability that a randomly selected pregnancy is less than 184 days?
- Raul has 5 shirts, 3 pairs of pants, and 6 pairs of shoes. What is the total number of different outﬁts that he can put together consisting of 1 shirt, 1 pair of pants, and 1 pair of shoes?
- If six pairs of data yield an r = 0.789 and a regression equation of y= 4x-2, what is the best predicted value of y when x = 5?
- Among the contestants in a competition are 43 women and 21 men. If 3 winners are randomly selected, what Is the probability that they are all men?
- The probability that a contractor will get a plumbing contract is 2/3 and the probability that he will get an electric contract is 5/9. If the probability of getting at least one contract is 4/5, what is the probability that he will get both?
- The 6 entries in Claudia's checkbook ledger show both deposits and withdrawals. Claudia wrote down $100, -20, -35, $250, -$150, and -85. What is the mean dollar amount for these entries?
- We reject the null hypothesis when the test statistic falls in the rejection region, but we do not accept the null hypothesis when the test statistic doe not fall in the rejection region. Why?
- What is the probability of drawing a 6 from a deck of cards?
- A student on the basketball team make 72% of her free-throw attempts. Out of 450 attempts, about how many free throws will this student make?
- What is the standard deviation of {7, 2600, 7, 8, 7, 7}?
- 10 apples, 4 of which are rotten, are in the refrigerator. 3 apples are randomly selected without replacement. Let the random variable x represent the number chosen that are rotten. What is the mean and standard deviation of x?
- What is the formula #("group size")/("total population")times"sample size"# used for?
- Tell me all importances of descriptive statistics?
- 'How many different odd numbers greater than 500 can be made using some or all of the digits 1,3,5 and 6 with no digit being repeated?'
- "Given that the mean is 35.2 and the standard deviation is 4.7, the probability that Zak's time is between 35.2 minutes and t minutes, where t > 35.2 is 0.148. What is the value of t?'
- 'Rachel displays 10 of the 13 ornaments in a row on her window sill. What are the number of different arrangements that are possible if she has a duck at each end of the row and no ducks anywhere else, given she has 3 ducks,4 shells and 6 wooden animals?'
- 'A box contains 5 discs, numbered 1,2,4,6,7. William takes 3 discs at random, without replacement, and notes the number on the discs. What is the probability that the numbers on the 3 discs are two even numbers and one odd number?'
- 'Six cards numbered 1,2,3,4,5,6 are arranged randomly in a line. What is the probability that the cards numbered 4 and 5 are not next to each other?'
- Are there any conditions as to what physical quantities are to be represented on the X and Y axis?
- 1545 subjects were given ginko & 1524 placebo. In ginko group, 246 developed dementian & in the placebo it was 277 with dementia. Significance level=0.01 to test claim(ginko is effective in dementia) Can you test claim and construct confidence interval?
- Which graph will show a linear relationship if the data is exponential? A. #sqrt(f)# vs. #x# B. #f# vs. #log(x)# C. #f# vs. #x^2# D. #log(f)# vs. #x#
- 'A party of 12 people is to make a journey in 3 cars, with 4 people in each car. Each car is driven by its owner. What are the number of ways in which the remaining 9 people may be allocated to the cars?'
- Men ages(20-29) have meanheight 69.3 with s.dev of 2.5 in. An analyst wonders if sd of majorleague players less than 2.5 in. Heights of 20 random players are:72, 74, 71, 72,76,70,77,75,72,72,77,73,75,70,73,74,75,73,74,73. Can you help me find the P value?
- If we'll have one world government who will be the leader and the leaders of Councils ?
- Consider flipping three coins simultaneously. Let a success be when the three outcomes are the same. What is the probability that (a) exactly three rounds of flips are needed for the 1st success? (b) more than four rounds are needed?
- #P( -a < Z < a ) = 0.8262# how do you find a?
- If log2= 0.3010 Log 3= o.4771 Log 5= o.6990 Find the value of log 0.048?
- If i'm playing heads up in hold'em poker, and i'm holding a king of spades and a 2 of spades, and the board is showing 3 of hearts, 4 of hearts, 5 of hearts, 7 of hearts, Queen of diamonds, what are the odds i'll win the hand?
- What is the Iq score? The graph depicts IQ scores of adults, and mean is 100 and standard deviation is 15. (the bell graph has a .9798 toward right side)
- How do i compute the number of intervals and the interval width for grouping the observations?
- What's the term for the average distance between any two points of data in a set? Example: For the set 31, 33, 33, 36, 37, the differences for all possible pairs are 2, 2, 5, 6, 0, 3, 4, 3, 4, and 1, so the average difference is 3. What is that called?
- Suppose you choose a number from the first n positive numbers, and receive an amount equal to the reciprocal of that number. Derive an expression for the expected value, and what is E(x) when n=5 and n=100?
- What is the significance of standard deviation ?
- An online business collects details of its customers so that it can recommend relevant products. Discuss the privacy issues associated with shopping online?
- The turnbuckle is tightened until the force in the cable is 300n.express the position of A as a vector using Cartesian components?
- Consider a random sample of approximately twenty households in Windhoek. For each household, record the average daily (24hr over a period of three days, weekends excluded) electricity consumption . Use the data obtained to : 1) Compile a log sheet?
- What is the formula for residuals? How do you graph them (i.e.: what do you put as x, what as y etc)?
- Expand (cos @ + isin @)^n for n=2 and 3. And obtain expression for [email protected], [email protected], [email protected] and [email protected] in terms of cos @ and [email protected] @=tita?
- Discuss how business organisations have had to adapt their working practices in response to the increased use of personal digital devices?
- In 2000, the Vermont legislature voted to approve civil unions. Use Chi Square test to determine whether the voting is independent of Gender. Use an alpha of .01. Data below. Women Voted Yes- 35 Men Voted Yes- 60 (What is independent variable?)
- How do you find the critical value of z alpha /2 that corresponds to the given confidence level of 87%?
- How can we compare two curves with different X-axis and different Y-axis?
- State the null hypothesis,Ho and the alternative hypothesis,Ha ,that would be used to test : a) the median is at least 32? b) People prefer the taste of the bread made with a new recipe? c) There is no change in weight form weight-in until after two week?
- Supposed a total of 100 tckets hav been purchased. if there are 6 prizes given out & u purchased 4 of the 100 tickets that will be drawn from, what is the probability that exactly One of them will be selected for the prize?
- How to calculate interquartile range for energy contour for sound waves?
- What's an intuitive difference between mean, median and mode of a probabillity ditribution?
- What is the probability of rolling a sum off six and than a sum of six again in to two consecutive rolls of a pair of dice?
- 2 students attend math education.35 students in class & 21 are female. 1st student selected main rep & 2nd will b alternative. a) whats the probability that the main rep is female & the alternative is male? b) whats the prob both main and rep are male?
- Of the 150 egg hidden, 15 contain $10.00 bills & the rest contain candies. suppose a child finds 4 easter eggs. what is the probability that one of the child's eggs has a $10.00 bill in it?
- What is stander tendency?
- In a random sample of 200 students, 57% stated that they walk to school to school. Test at 4% significance level whether this indicates that 45% of students walk to school?
- A goat feeds on 4kg of food while a sheep feeds on 2kg of food per day.The total amount of food should be at least 8kg per day. (c)The number of sheep should be more than the number of goats?
- A) A small farmer wishes to keep sheep and goats.Let X represent the number of sheep and Y the number of goats. (1)Write the inqualities which represent each of the following conditions: (a)The number of sheep should not be more than 4?
- What is thecore differences between R- square and adjusted R- square?
- What are qualitative and quantitative measures of livelihood?
- Which is Misleading R-square or Adjusted R-square?
- Committee of 3people is to be selected from 4women and 5men.The rules state that at least 1men and 1women get selected.Find:a)Different ways of committee be chosen?b)If man and woman marry.The rules state that both the couples may not serve.Committee now?
- What is multivariate regression and how is it calculated?
- What is the null hypothesis for testing the slope of the least squares regression line?
- What is Probability?
- How can I assess the significance between two continuous variables without normal distribution?
- What is the difference between practical significance vs statistical significance?
- Is there any difference between a discrete random variable and an event?
- What is product of 2870*3 ?