Question: Let (X, Y ) be a pair of random variables whose mass function is: f(x, y) = k(x + 2y) x = 1, 2 and

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. Calculate the conditional expectation E (Y kX = 2).

4. Find the mass function of Z = |X Y |.

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