what are the mean and variance of the hypergeometric distribution?

Question

Calculate the mean and the variance of the hypergeometric distribution h(x;50,5,3).

Answer 1

Usually written as h(x;N,N₁,n) where the x has to be pulled from N₁ and the total pulled is n so that n-x are pulled from N₂ and N₁+N₂ are N the population being drawn from.

the mean is n(N₁/N) = 3(5/50) = .3

σ² = (N₁/N)(N₂/N)(N-n)/(N-1) = (5/50)(45/50)(50-3)/(50-1) = .0863

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