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Round your answers to four decimal places (e.g. 0.9876). a) Suppose that X has a hypergeometric distribution with N = 140, n = 4, K = 20. FPC = 1 If finite population correction factor is small a binomial distribution can effectively approximate the hypergeometric distribution. Calculate the following probabilities, assuming that X has a binomial distribution. P(Xbin = 1) = i P(Xbin = = 4) = b) Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 150 cards, and 20 are selected without replacement for functional testing. FPC = i Use the binomial approximation to the hypergeometric distribution to approximate the following probabilities. If 21 cards are defective, what is the probability that at least 1 defective card is in the sample? P(X) = If 6 cards are defective, what is the probability that at least 1 defective card appears in the sample? P(X) =

Round your answers to four decimal places (e.g. 0.9876). a) Suppose that X has a hypergeometric distribution with N = 140, n = 4, K = 20. FPC = 1 If finite population correction factor is small a binomial distribution can effectively approximate the hypergeometric distribution. Calculate the following probabilities, assuming that X has a binomial distribution. P(Xbin = 1) = i P(Xbin = = 4) = b) Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 150 cards, and 20 are selected without replacement for functional testing. FPC = i Use the binomial approximation to the hypergeometric distribution to approximate the following probabilities. If 21 cards are defective, what is the probability that at least 1 defective card is in the sample? P(X) = If 6 cards are defective, what is the probability that at least 1 defective card appears in the sample? P(X) =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 61CR
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Round your answers to four decimal places (e.g. 0.9876). a) Suppose that X has a hypergeometric distribution with N = 140, n = 4, K = 20. FPC = i If finite population correction factor is small a binomial distribution can effectively approximate the hypergeometric distribution. Calculate the following probabilities, assuming that X has a binomial distribution. P(Xbin = 1) = i P(Xbin = 4) = b) Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 150 cards, and 20 are selected without replacement for functional testing. FPC = i Use the binomial approximation to the hypergeometric distribution to approximate the following probabilities. If 21 cards are defective, what is the probability that at least 1 defective card is in the sample? P(X) = i If 6 cards are defective, what is the probability that at least 1 defective card appears in the sample? P(X) = i
Transcribed Image Text:Round your answers to four decimal places (e.g. 0.9876). a) Suppose that X has a hypergeometric distribution with N = 140, n = 4, K = 20. FPC = i If finite population correction factor is small a binomial distribution can effectively approximate the hypergeometric distribution. Calculate the following probabilities, assuming that X has a binomial distribution. P(Xbin = 1) = i P(Xbin = 4) = b) Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 150 cards, and 20 are selected without replacement for functional testing. FPC = i Use the binomial approximation to the hypergeometric distribution to approximate the following probabilities. If 21 cards are defective, what is the probability that at least 1 defective card is in the sample? P(X) = i If 6 cards are defective, what is the probability that at least 1 defective card appears in the sample? P(X) = i
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