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a) P (X = x) = c(M, y) c(N, n-x) phi^x / Z(phi) follows hypergeometric with non-central parameter phi. Does this distribution belong to the

a) P (X = x) = c(M, y) c(N, n-x) phi^x / Z(phi) follows hypergeometric with non-central parameter phi. Does this distribution belong to the exponential family? What is the cumulant. b) When phi = 1, P(X=x) = c(M, x) c(N, n-x) / c(M+N, n). Use the cumulant to find E[X].

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