91. Let X1,X2,...,Xn be independent and identically distributed exponential random variables. Show that the probability that the

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91. Let X1,X2,...,Xn be independent and identically distributed exponential random variables. Show that the probability that the largest of them is greater than the sum of the others is n/2n−1. That is, if M = max j

Xj then show P

M >n i=1 Xi − M

= n 2n−1 Hint: What is P{X1 > n i=2 Xi}?

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Introduction To Probability Models

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9th Edition

Authors: Sheldon M Ross

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91. Let X1,X2,...,Xn be independent and identically distributed exponential random variables. Show that the probability that the

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Introduction To Probability Models

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