Question

11. Let X follow possion distribution(µ)

a) Show that $E(X(h(x)) = �E(h(X+1))$ where h is a function.

b) Use the above identity to find the 2nd and 3rd moments.

c) Show that $E(X(X-1)(X-2)...(X-k+1))= \mu �^{k}\ where\ k\geq 0$

Answer 1

Here g==h

g(x) = h(x)

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