Let X (1) , X (2) , ... , X (n) be the order statistics of a

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Let X(1), X(2), ... , X(n) be the order statistics of a set of independent uniform (0, 1) random variables. Find the conditional distribution of X(n) given that X(1), = s1, X(2) = s2, ... , X(n-1) = Sn-1.

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