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5. (20pts) Let X1, X2, . . . , Xn be independent. and identically distributed (iid) random variables. What is the chance that they happen

5. (20pts) Let X1, X2, . . . , Xn be independent. and identically distributed (iid) random variables. What is the chance that they happen to be sorted increasingly? (a) If Xi's are continuous random variables, show that P(X1 {X2

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