In which distributions does the variable X have a binomial distribution?

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1 Answer
Apr 18, 2018

#"In the 2nd and 4th situation we have a binomial distribution."#

Explanation:

#"A binomial distribution occurs when we repeat an experiment"#
#"n times and we want to know the number of times that the"#
#"experiment was successful."#
#"In the 2nd situation we have :"#
#"n = 2"#
#"success = rolling an odd number"#
#=> " X = 0, 1, or 2 = number of times of success."#
#"In the 4th situation we have :"#
#"n = 3"#
#"success = rolling a 2"#
#=> " X = 0, 1, 2, or 3 = number of times of success."#

#"In the first situation X does not denote the number of"#
#"successes but the sum of the numbers rolled."#

#"In the third situation X is the number of times rolled before"#
#"a 2 appears and does not denote the number of successes as"#
#"the number of successes is always 1 (we roll until we have a 2)."#