Question: Show that for a Poisson random variable Y, a. 0 s p(y) s 1 b )-1 y=0 C. E(Y) = A? + A [Hint: First

Show that for a Poisson random variable Y, a. 0 s p(y) s 1 b )-1 y=0 C. E(Y) =

a. 0 s p(y) s 1 b )-1 y=0 C. E(Y) = A? + A [Hint: First derive the result E[ Y(Y 1)] = x? from the fact that ELY(Y 1)] = Ey(y - 1)- y! y=0 (y - 2)! z! Then apply the result E[Y(Y 1)] = E(Y) E(Y).]

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