Suppose that the moment generating function of a random variable X is of the form MX (t) = (0.4e^t + 0.6)8 . What is the moment generating function, MZ(t), of the random variable Z = 2X + 1? (Hint: think of 2X as the sum two independent random variables). Find E[X]. Find E[Z ]. Compute E[X] another way - try to recognize the origin of MX (t) (it is from a well-known distribution)
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