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1. (30 points) Let the sample space = [0, 1] and the probability on be given by the density p(x) = 2x over [0,
1. (30 points) Let the sample space = [0, 1] and the probability on be given by the density p(x) = 2x over [0, 1]. We define random variables X and Y by 1, 0 w < 1/4 0, 1/4w
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