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(a) Suppose X and Y are two independent exponential random variables, with expectation E[X] = 1, and E[Y] = 2. Find the variance of X
(a) Suppose X and Y are two independent exponential random variables, with expectation E[X] = 1, and E[Y] = 2. Find the variance of X + Y, and find the moment generating function of X + Y. (b) Suppose X1, X2, . . . X,, are independent exponential random variables, with expectation 1. Let M10 (X) = 100 Xi+X2+ +*100 Use Chebyshev's Inequality to find a lower bound on PIO
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