Let X denote a hypergeometric random variable with

Chapter , Problem 19

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Let X denote a hypergeometric random variable with parameters n, m, and k. That is, P{X = i} = _ n i __ m k i _ _ n + m k _ , i = 0, 1, . . ., min(k, n) (a) Derive a formula for P{X = i} in terms of P{X = i 1}. (b) Use part (a) to compute P{X = i} for i = 0, 1, 2, 3, 4, 5when n = m = 10, k = 5, by starting with P{X = 0}. (c) Based on the recursion in part (a), write a program to compute the hypergeometric distribution function. (d) Use your program from part (c) to compute P{X 10} when n = m = 30, k = 15.