Let Y denote the amount of money (in US dollar – $) in a bank robbed by Jabba The Hutt. Assume that Y is a possion random variable with rate λ. Jabba The Hutt always carry 1$ inside his pocket. If X denotes the total amount of money Jabba the Hutt has got after a robbery – i.e. X = Y + 1;
(a) Compute E(X^2)
(b) Compute E(1/X)
(a) Compute E(X^2)
(b) Compute E(1/X)