Question: 1. If X has the Poisson distribution with parameter , show that E ???? X(X 1)(X 2) (X k)

1. If X has the Poisson distribution with parameter λ, show that E

????

X(X − 1)(X − 2) · · · (X − k)



= λk+1 for k = 0, 1, 2, . . . .

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