Suppose XÂ has a hypergeometric distribution with N = 100, n = 4, and K = 20. and Suppose X has a hypergeometric distribution with N = 20, n = 4, and K = 4.
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(a) Calculate the finite population corrections For which exercise should the binomial approximation to the distribution of X be better?
(b) calculate P(X = 1) and P(X = 4) assuming that X has a binomial distribution and compare these results to results derived from the hypergeometric distribution.
(c) calculate P(X = 1) and P(X = 4) assuming that X has a binomial distribution and compare these results to the results derived from the hypergeometric distribution.
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