The joint density function for a pair of random variables X and Y is (a) Find the

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The joint density function for a pair of random variables X and Y is

Cx(1 + y) if 0 <x< 1, 0 < y< 2 f(x, 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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