Question: 4. For any x ( R, write {x} for the fractional part of x, the unique number in [0, 1) such that x - {}

$4. For any x ( R, write {x} for the fractional$

4. For any x ( R, write {x} for the fractional part of x, the unique number in [0, 1) such that x - {} is an integer. Consider 0 = (0, 1] with Lebesgue measure and Borel o-algebra. (a) Show that P({w : {nw} NIH (b) Show that P({w : {nw}

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