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The joint probability density function of X and Y is given by f(x,y) = c(y2 x2)e2y y x y, 0 lt; y lt; (a) (5 points) Find c. (b) (5 points)Find the...

The joint probability density function of X and Y is given by f(x,y) = c(y2 −x2)e−2y −y ≤ x ≤ y, 0 < y < ∞ (a) (5 points) Find c.

(b) (5 points)Find the marginal densities of X and Y .

(c) (5 points) Find E[X].

(please provide process)

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