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4. Let y X3, with X ~ Expo(1) (a) Find P(Y > s +jy > s) for s,t 0. Does Y have the memoryless property?

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4. Let y X3, with X ~ Expo(1) (a) Find P(Y > s +jy > s) for s,t 0. Does Y have the memoryless property? (b) Find the mean and variance of Y , and the n-th moment E(Y") for n = 1, 2, (c) Determine whether or not the MGF of Y exists

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