Question: Suppose that the marginal probability density function of Y is fY(y) = 8/(y^3), y > 2. Suppose that for y > 2, the conditional probability

Suppose that the marginal probability density function of Y is fY(y) = 8/(y^3), y > 2.

Suppose that for y > 2, the conditional probability density function of X given Y = y, is f(X | Y) = (y^4) / (4x^5) , x > (y / 2).

Find the marginal probability density function of x

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