Question: When calculating all the values of a hypergeometric distribution, the work can often be simplified by first calculating h(0; n, N, M) and then using

When calculating all the values of a hypergeometric distribution, the work can often be simplified by first calculating h(0; n, N, M) and then using the recursion formula
(n-x)(M - x) (x+1)(N - M – n+x+1) hx; n, N. M) h(x+1; n. N,M) =

Verify this formula and use it to calculate the values of the hypergeometric distribution with n = 4, N = 9, and M = 5.

(n-x)(M - x) (x+1)(N - M n+x+1) hx; n, N. M) h(x+1; n. N,M) =

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