8. The joint probability density function of X and Y is given by $$f(x, y) = c(y^2x^2)e^{-y}$$...
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8. The joint probability density function of X and Y is given by
$$f(x, y) = c(y^2x^2)e^{-y}$$
-y ≤ x ≤ y, 0 < y < ∞
(a) Find c.
(b) Find the marginal densities of X and Y.
(c) Find E[X].
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