. Let Y have the uniform distribution on the interval [0,

Chapter 12, Problem 19

(choose chapter or problem)

. Let Y have the uniform distribution 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 distribution on the interval [0, 1].

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