If X1, . . . , Xn are independent random variables, each
Chapter , Problem 73(choose chapter or problem)
If \(X_1, \ldots ,X_n\) are independent random variables, each with the density function f, show that the joint density of \(X_{(1)}, \ldots ,X_{(n)}\) is
\(n ! f\left(x_{1}\right) f\left(x_{2}\right) \cdots f\left(x_{n}\right), \quad x_{1}<x_{2}<\cdots<x_{n}\)
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