Exercise 4 [Moment generating function} [} Derive the moment. generating function [MGFj for the Poimon distribution with rate parameter A and use it to compute its rst two raw moments. Use them to derive the expectation and the variance. What do you notice?I Exercise 5 (Conditional probability} [} We deal a hand of two cards {drawn at random} from a stande 52min deck. Let the random variable X represent the number of aces in this hand. Compute the following: (5} EX} {1)} IE{X| the aceof is in this hand} {o} IE[X| at. least one see is in this hand 3}