Question: Let Y have the Uniform distribution on the interval [0, 1]. Define I to be the greatest integer less than or equal to nY +

Let Y have the Uniform on the interval [0, 1]. Define I to be the greatest integer less than or equal to nY + 1, and define U = nY + 1− I. Prove that I and U are independent and that U has uniform on the interval [0, 1].

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For k 1 n I k if and only if k nY 1 k 1 Hence The conditional cdf of U given ... View full answer

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