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Suppose that the moment generating function of a random variable X is Mx(t) = exp(4et - 4) and that of a random variable Y

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Suppose that the moment generating function of a random variable X is Mx(t) = exp(4et - 4) and that of a random variable Y is My (t) = ( e + ) 14. If X and Y are independent, find each of the following. (a) P{X+Y= 2} 178.4 (b) P{XY 0}= (c) E[XY] = = 6.72 1.0 (d) E[(X + Y)] = 216.22

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