Question: Let X be a random variable with moment-generating function: M(t) = 1/3+1/2*e t +1/6*e 2t a) Find the mean and variance of X, using the

Let X be a random variable with moment-generating function: M(t) = 1/3+1/2*et+1/6*e2t

a) Find the mean and variance of X, using the derivatives of M(t).

b) Find the pmf of X. (Hint: Use the result from question 2, and recall that the mgf of a Bernoulli(p) random variable is: M(t) = (1p)+p*et.)

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