The joint density function for a pair of random variables X and Y is given. (Round your answers to four decimal places.) Cx(1+ y) if 0 ≤ x ≤ 2, 0 ≤ y ≤ 2 f(x, y) = {Cx(1 + y) otherwise (a) Find the value of the constant C. (b) Find P(X ≤ 1, Y≤ 1). (c) Find P(X + Y≤ 1).

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