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106 Section 2.8: Conditioning and Independence 2.8.2 Suppose X and Y have joint probability function px,(x, y) = 1/16 1/4 1/2 1/16 1/16 1/16 0 x = -2, y = 3 x = -2, y = 5 x = 9, y = 3 x = 9, y = 5 X = - 3 x = 13, y = 5 otherwise. 13, y - = E (a) Compute px(x) for all x e R?. (b) Compute py(y) for all y e R1. (c) Determine whether or not X and Y are independent. 2.8.3 Suppose X and Y have joint density function 12 42 (2 + x + xy + 4y2) fx,y (x, y) 0 < x < 1, 0 < y = 1 otherwise. 0 E (a) Compute fx(x) for all x e Ri. (b) Compute fy(y) for all y e R1. (c) Determine whether or not X and Y are independent. 284 Sunnose X and Y have joint density function ...
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