*57. Let XXfX2,...,Xn be independent and identically distributed exponential random variables. Show that the probability that the...

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*57. Let XXfX2,...,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~l. That is if M = max Xj j

then show Hint: What is P{XX > Ó? = 2 ^ / } ?

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