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2. Random variables X and Y have a joint PDF fX,Y (x, y) = 2 for...

2. Random variables X and Y have a joint PDF fX,Y (x, y) = 2 for 0 ≤ y ≤ x ≤ 1. Determine (a) E[X] and Var[X]. (b) E[Y ] and Var[Y ]. (c) Cov(X, Y ). (d) E[X + Y ]. (e) Var[X + Y ].

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