Discrete Probability Dist_Hypergeo

Hypergeometric Distribution

Definition:

binomial (s,k) binomial (N-s, n-k) / binomial (N,n)

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Required:

N ³ 0    0 £ n £ N     0 £ s £ N

k, N, n and s are integers

Moments:

m = n s / N

s^2 = n s (1-s/N) (N-n) / [N (N-1)]

g1 = (N-2s) (N-2n) sqrt (N-1) / [(N-2) sqrt (n s (N-s) (N-n))]

b2 = N^2 (N-1)/[(N-2)(N-3) n s (N-s)(N-n)] [N (N+1) - 6n (N-n) + 3s (N-s)/N^2 [N^2 (n-2) - N n^2 + 6n (N-n)]]