Find the density of U(k) U(k1) if the Ui , i = 1, . . . ,

Chapter , Problem 77

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Find the density of \(U_{(k)}- U_{(k_1)}\) if the \(U_i , i = 1, \ldots ,n\) are independent uniform random variables. This is the density of the spacing between adjacent points chosen uniformly in the interval [0, 1].

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