Suppose that x 1 , x 2 , ... , X n are independently and all have


Suppose that x1, x2 , ... , Xn are independently and all have the same continuous distribution, with density f(x) and distribution function F(x). Find the distribution functions of

M = max(x, x2, ..., Xn] and m= min{x, x2, ..., Xn}

in terms of F(x), and so find expressions for the density functions of M and m.  

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