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1. For any real number z, let ry denote the fractional part of a; that is, zy is the unique number in [0, 1) such

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1. For any real number z, let ry denote the fractional part of a; that is, zy is the unique number in [0, 1) such that r - ry is an integer. Consider the sample space (0, 1] with Lebesgue measure and Borel sigma-algebra. (a) Show that P(w : (nw)/

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