Question: Let the discrete random variable X have the binomial distribution with parameters n and p. (a) Prove that the moment generating function for X is

Let the discrete random variable X have the binomial distribution with parameters n and p. (a) Prove that the moment generating function for X is given by: mX (t)=(p(et 1)+1)n . (b) Prove that the expected value of X is the product of the parameters n and p. (c) Explain why it does make sense that E(X) is directly proportional to both n and p

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