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Let xexponential() and yexponential(), and x be independent of y. let u=x+y and v=x/y.(a)determine the condition (on parameters and ) under which the random variables

Let xexponential() and yexponential(), and x be independent of y. let u=x+y and v=x/y.(a)determine the condition (on parameters and ) under which the random variables and are independent. Show your steps.b ) Find the marginal distribution of U assume independence condition from part a.I know how to start but I dont know how to dermine the condition.

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f(x) = (~ Exponential (1) f (y) = -ex d Y ~ exponential (H). f(x, y) = t X be independent of Y . t U = X +Y and V = X/Y . This implies 1 U = U(1 - Y = V + 1 and V + 1 -U J = en (V +1)2 Determine the condition (on parameters u and )) der which the random variables U and V are dependent. show your step

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