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Suppose you have two independent random variables X ~ Exponential()1 ) and Y ~ Exponential(12), A1 > 0, A2 > 0. Find: (a) The joint

Suppose you have two independent random variables X ~ Exponential()1 ) and Y ~ Exponential(12), A1 > 0, A2 > 0. Find: (a) The joint density function for (X, Y). (b) P (# > 1). (c) P(X +Y > 1)

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