Question

Compute the expected value of the Poisson distribution with parameter λ X ∼ Poisson(λ). Show E[X(X...

Compute the expected value of the Poisson distribution with parameter λ

X ∼ Poisson(λ). Show E[X(X − 1)(X − 2)· · ·(X − k)] = λ ^(k+1)

Use this result, and that in question above, to calculate the variance of X

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