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(Solved): 1. Let X1,...,Xbe Independent And Identically Distributed Continuous Random Variables And Let X (1),...

1. Let X1,...,Xbe independent and identically distributed continuous random variables and let X (1),...,xn) denote their orde

1. Let X1,...,Xbe independent and identically distributed continuous random variables and let X (1),...,xn) denote their order statistics (a) Find P(Xn = X(k)) for k = 1,...,n. Hint: Note that all orderings of X1, ... , Xn are equally likely. (b) Show that (Xn, X(n)) does not have a joint pdf.

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