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(20p.) If X and Y are independent exponential random variables with rate parameter 1, a. Find E[X+Y] and E[min(X,Y)] b. Find E[max(X,Y)]. (Hint: What

(20p.) If X and Y are independent exponential random variables with rate parameter 1, a. Find E[X+Y] and E[min(X,Y)] b. Find E[max(X,Y)]. (Hint: What is "min(X,Y) + max(X,Y)"?)

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