Calculate the marginal densities for both Y and X. Show using the conditional distribution for Y and the marginal distribution for Y, that X and Y are not independent. Calculate the $E(Y \mid x = 1)$ and $V(Y \mid x = 1)$.
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Calculate the marginal density for Y: To calculate the marginal density for Y, we integrate the joint density function over all possible values of X. Let's denote the joint density function as f(x, y) and the marginal density for Y as f_Y(y). f_Y(y) = ∫ f(x, y) Show more…
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