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9. Suppose X and Y are continuous random variables with joint density function f(x,y) = x...

9. Suppose X and Y are continuous random variables with joint density function f(x,y) = x + y for 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1.


(a). Compute the joint CDF F(x,y).

(b). Compute the marginal density for X and Y .

(c). Compute Cov(X,Y ). Are X and Y independent?

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