Answers created by Chandra S.

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• What is the distance between #(5 ,( pi)/4 )# and #(-4 , ( pi )/6 )#?
  
• Question #f6c62
  
• What is the mean and variance of a random variable with the following probability density function?: #f(x) = 3x^2 if -1 < x < 1#; 0 otherwise
  
• If you multiply each entry of a set by 3 and added 1, how would the mean and standard deviation change?
  
• 3 balls are drawn from a jar that contains 5 white balls and 3 black balls. What is the probability that all 3 balls are same in color if there is no replacement?
  
• What is the standard error of an estimator?
  
• If two variables have a negative correlation, can they have a positive covariance?
  
• How can a t-statistic be used to determine statistical significance?
  
• Can you determine the coefficient of determination from the correlation coefficient?
  
• If you roll a fair die three times, what is the probability that you don't roll any 5's?
  
• What is the variance of the following numbers?: {3,5,2,2,4,7,8,5,7,12,6,4,}
  
• What is the variance of a probability distribution function of the form: #f(x)=ke^(-2x)#?
  
• Assume that 10% of published books break even, 20% lose $10,000, 30% lose $20,000, and 40% net $10,000. What is the expected value of a random book?
  
• How does the normal distribution differ form the Poisson distribution?
  
• What do the coefficients of a linear regression tell you?
  
• If the covariance of two variables is 0, are they necessarily independent?
  
• In terms of the parameters of the probability mass function, what is the formula for the standard deviation of a Poisson distribution?
  
• What is the variance of z=2x+3y, in terms of the variances of x and y?
  
• For binomial distribution X, with n = 7 and p = 0.6, what is P(X>3)?
  
• Why does the standard normal distribution have a kurtosis of 0?
  
• What is Bayes' rule?
  
• How do you find the exact value of #csc180#?
  
• Is a binomial distribution supposed to be symmetrical?
  
• Question #6376d
  
• Question #ecb31
  
• Question #26b22
  
• How do you factor #2x^2 - 3xy - 2y^2#?
  
• How do you use the double angle or half angle formulas to express sin x/2 in terms of cos x?
  
• Question #54096
  
• How do you find the exact values of cot, csc and sec for 30 degrees?
  
• How do you find the 6 trigonometric functions for 3pi/2?
  
• How do you find the compliment of (pi/7) in an angle of radians?
  
• A triangle that is 3 units high, 4 units long, and has a hypotenuse of 5 units, how do you find the angles?
  
• How do you find the domain & range for #f(x)=sqrt(tan(2x+π))#?
  
• How do you graph #f(x)=sin(x+pi/6)#?
  
• If the triangle has an angle of 30 degrees, what is the Hypotonese And The Opposite?
  
• James bond is looking at the top of a tower, at a distance of 133 m. He is 1.6 m. tall and has to look about 25 degrees above eye level. How do you find the height of the tower?
  
• How do I solve #3 sin x+2 tan x=0# for #0°<x<360°# ?
  
• How do you solve #10cos^2x - 5 = 1#?
  
• Question #e49ee
  
• How do you find the 6 trigonometric functions for pi/2?
  
• Question #e84c9
  
• How do you find the 6 trigonometric functions for 5pi/3?
  
• In triangle EFD, the measure of angle D is 37.9, side d is 27 ft, side f 20ft. How do you find the measure of angle F?
  
• Question #064b4
  
• Question #67bb2
  
• How do I evaluate cos(pi/5) without using a calculator?
  
• How do you solve #3sin^(2)x - sinxcosx - 4cos^(2)x = 0# from [-pi, pi]?
  
• What is the sec^2 (pi/3)?
  
• How do you find the exact value of sin(arctan(2))?
  
• Given tan x tan y = p and cos(x+y)=q .Show that sin x sin y =(pq)/(1-q) and cos(x-y)= (q(1+p))/(1-p) ?
  
• How do you find #cos x= -1/2#?
  
• Question #80edb
  
• When working in decimal radians, how do you find x given #65^0# = #sin^-1 x# ? ?
  
• Question #03cdf
  
• What information does an ogive provide?
  
• What is the purpose of blocking in some experiments?
  
• How do you evaluate #arcsin (sin (3pi/2))#?
  
• How do you verify #sec(x+y)= (secx secy)/(1-tanxtany)#?
  
• How do you simplify #1/csc^2 x + (1/tan x)(cot x) + cos^2 x#?
  
• What is a joint probability in a two-way table?
  
• What information is gleaned if we reject the null hypothesis for the test of the slope of the least squres regression line?
  
• Question #fd2d3
  
• Question #5701b
  
• What are independent trials, and how do they relate to the definition of probability?
  
• Question #b9a4f
  
• What are 5 sampling techniques, and what are the advantages and disadvantages of each?
  
• How do you distinguish between whether should use a permutation and a combination for a given problem?