Question: Given the moment- generating function MX(t) = e3t+ 8t2 , find the moment- generating function of the random variable Z = 1/4 (X 3),

Given the moment- generating function MX(t) = e3t+ 8t2 , find the moment- generating function of the random variable Z = 1/4 (X – 3), and use it to determine the mean and the variance of Z.

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