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Let X and Y be jointly continuous random variables with joint density function f(x, y) =...

Let X and Y be jointly continuous random variables with joint density function f(x, y) = c(y^2 − x^2 )e^(−2y) , −y ≤ x ≤ y, 0 < y < ∞.

(a) Find c so that f is a density function.

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

(c) Find the expected value of X

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