Let (X,Y) be jointly distributed inside the ellipse given by {(x,y)

| August 30, 2017

Question
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Let (X,Y) be jointly distributed inside the ellipse given by {(x,y) : ax^2+by^2=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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