(a) Derive the moment generating function for the Bernoulli distribution with parameter p:

(b) Assume that Y has the Binomial distribution with parameters p and n: Use the fact that Y can be written as Y = X1+....+ Xn where Xi are independent Bernoulli random variables with parameter p to derive the moment generating function for the random variable Y:

(c) Let X be a Binomial random variable with parameters p=0:1 and n=10: Find the moment generating function of the random variable Y=3X

A,B and c please