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) =

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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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