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1. A sum and a ratio Suppose X , Y are two independent Exp(1) random variables. (a) (5 pts) Find the distribution of Z =

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1. A sum and a ratio Suppose X , Y are two independent Exp(1) random variables. (a) (5 pts) Find the distribution of Z = X + Y. (b) (5 pts) Find the distribution of W = E? and specify its range. Hint: Are X and Z independent

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