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Let X and Y be two continuous random variables with joint probability density function f(x,y) =...

Let X and Y be two continuous random variables with joint probability density function f(x,y) = xe^−x(y+1), 0 , 0< x < ∞,0 < y < ∞ otherwise

(a) Are X and Y independent or not? Why?

(b) Find the conditional density function of Y given X = 1.(

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