3. Suppose X and Y are continuous random variables having the probability density k | x...

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3. Suppose X and Y are continuous random variables having the probability density

k | x + y | −1 < x < 1, −2 < y < 1 fX,Y (x, y) = 0 otherwise

(a) Find k.

(b) Find the marginal probability density function of Y .

(c) Find P{Y > X + 1 }.

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