If the probability of occurrence of an event (probability of success) in a single trial of a Bernoulli's experiment is p, then the probability that the event occurs exactly r times out of n independent trials is equal to nC, q"-'p', where q = 1-p, the probability of failure of the event.

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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Prove the theorem

If the probability of occurrence of an event (probability of success) in a single
trial of a Bernoulli's experiment is p, then the probability that the event occurs
exactly r times out of n independent trials is equal to nC, q"-'p', where q =
1 - p, the probability of failure of the event.
Transcribed Image Text:If the probability of occurrence of an event (probability of success) in a single trial of a Bernoulli's experiment is p, then the probability that the event occurs exactly r times out of n independent trials is equal to nC, q"-'p', where q = 1 - p, the probability of failure of the event.
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