Suppose that independent Bernoulli trials, each having probability p = 0.4, of being a success are performed until a total of r = 3 success is achieved. Let X be the number of trials required. a) What are the possible values for X? b) If X = n, find P (X = n). c) What is the probability of having 3 success before having 5 failures?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Suppose that independent Bernoulli trials, each having probability p 0.4, of being a success are
performed until a total of r = 3 success is achieved. Let X be the number of trials required. a) What
are the possible values for X? b) IfX = n, find P (X = n). c) What is the probability of having 3
success before having 5 failures?
Transcribed Image Text:= Suppose that independent Bernoulli trials, each having probability p 0.4, of being a success are performed until a total of r = 3 success is achieved. Let X be the number of trials required. a) What are the possible values for X? b) IfX = n, find P (X = n). c) What is the probability of having 3 success before having 5 failures?
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