4-24 In a lot of 200 electrical fuses, 20 are known to be nonconforming. A sample of 10 fuses is selected. (a) What is the probability distribution of the number of nonconforming fuses in the sample? What are its mean and standard deviation? (b) Using the binomial distribution as an approximation to the hypergeometric, find the probability of getting 2 nonconforming fuses. What is the probability of getting at most 2 nonconforming fuses?

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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4-24 In a lot of 200 electrical fuses, 20 are known to be nonconforming. A sample of 10
fuses is selected.
(a) What is the probability distribution of the number of nonconforming fuses in the
sample? What are its mean and standard deviation?
(b) Using the binomial distribution as an approximation to the hypergeometric, find
the probability of getting 2 nonconforming fuses. What is the probability of
getting at most 2 nonconforming fuses?
Transcribed Image Text:4-24 In a lot of 200 electrical fuses, 20 are known to be nonconforming. A sample of 10 fuses is selected. (a) What is the probability distribution of the number of nonconforming fuses in the sample? What are its mean and standard deviation? (b) Using the binomial distribution as an approximation to the hypergeometric, find the probability of getting 2 nonconforming fuses. What is the probability of getting at most 2 nonconforming fuses?
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