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Define the joint pmf of (x, y) by f(0, 10) = f(0, 20) = 4 / 30, f(1, 10) = f(1, 30) = 1 / 30, f(1, 20) = 1 / 30, f(2, 30) = 1
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Given joint pmf can be written as, x y10 20 30 f (x) o Do A 0 %30 Il že o ko 730 2 lolo 1/0 19/30 f(y) | 5/30.1% 2% i a f (y(c) E(Ylx=2) = Eyf (ylx). Ylx=2 = lox + 2x + 30 x 9/30 19/30 19/30 = 30 d) E(4) = {f; ly) = 10x5 + 20x5 + 30x 20 - 50+ 100+600

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