Normal approximation to the hypergeometric distribution. Let n, m, k be positive integers and suppose that they

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Normal approximation to the hypergeometric distribution. Let n, m, k be positive integers and suppose that they tend to infinity in such a way that (7.4) n + m where h = (7.5) + n 1, P, n + m - m n + m 1/(n + m)pqt(1 t). Prove that m q, h{k-rp} +m\ ~hn(x). (Q)(-))/(7)~ x + Hint: Use the normal approximation to the binomial distribution rather than Stirling's formula.

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