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

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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

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Hint: What is P{X1 >
ni =2 Xi}?

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Introduction To Probability Models

ISBN: 9780123756862

10th Edition

Authors: Sheldon M Ross

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Question Posted: Sep 16, 2024 04:01 AM

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

Question:

P{M > X-M}= i=1 n 2"-1

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Introduction To Probability Models

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