Question: 22. A point (X, Y ) is selected randomly from the triangle with vertices (0, 0), (0, 1), and (1, 0). (a) Find the joint

22. A point (X, Y ) is selected randomly from the triangle with vertices (0, 0), (0, 1), and

(1, 0).

(a) Find the joint probability density function of X and Y .

(b) Calculate fX|Y (x|y).

(c) Evaluate E(X | Y = y).

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