Problem let x y be jointly distributed inside the ellipse


Problem: Let (X, Y) be jointly distributed inside the ellipse given by {(x, y) : ax2 + by2 = 1}. Find the marginal densities of X and Y and the conditional densities of Y given X and X given Y. Are X and Y correlated? Are they independent?

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Basic Statistics: Problem let x y be jointly distributed inside the ellipse
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