Question: 2. (a) Find the moment generating function of a Bern(p) random variable. (b) Find the moment generating function of a Bin(n, p} random variable. (Hint:

2. (a) Find the moment generating function of a Bern(p) random variable. (b) Find the moment generating function of a Bin(n, p} random variable. (Hint: IfX ~ Bin(n,p), we can write X 2 X1 +- -- +Xn where the X1- are iid Bernfp).) (c) If M(t) is the answer to part (b), compute M'(t) and use this to verify that the expected value of a Bin(n,p) random variable is up (which you knew already)

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