Question: 13. Let X1, X2, . . . , Xn be independent exponential random variables with means 1/1, 1/2, ... , 1/n, respectively. Find the probability

13. Let X1, X2, . . . , Xn be independent exponential random variables with means 1/λ1, 1/λ2, ... , 1/λn, respectively. Find the probability distribution function of X = min(X1, X2, . . . , Xn).

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