For each of the following, find a random variable that would have the given moment generating function. Determine the possible values of the random variable and give either a formula or table showing the probabilities for the random variable. (a) m(t) = (0. 3et + 0. 7)8 Solution a) Binomial distribution with p =0.7 and q = 0.3 and n = 8 P(X = x ) = 8Cx (0.7)^x(0.3)^(8-x).