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Let (X, Y ) be a pair of random variables whose mass function is: f (x, y) = k(x + 2y) x = 1, 2
Let (X, Y ) be a pair of random variables whose mass function is: f (x, y) = k(x + 2y) x = 1, 2 and y = 1, 2. 1. Determine the normalization constant k. 2. Find the mass functions of X and Y . 3. Compute the conditional expectation E (Y X = 2). 4. Find the mass function of Z = |X - Y |.
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