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Mathematics, 12.12.2019 04:31 MegRasmussen31

(a) let (x, y ) denote a uniformly chosen random point inside the unit square [0, 1]2 = [0, 1] × [0, 1] = {(x, y) : 0 ≤ x, y ≤ 1}. let 0 ≤ a < b ≤ 1. find the probability p(a < x < b), that is, the probability that the x-coordinate x of the chosen point lies in the interval (a, b). (b) what is the probability p(|x − y | ≤ 1/4)?

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(a) let (x, y ) denote a uniformly chosen random point inside the unit square [0, 1]2 = [0, 1] × [0,...
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