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Let X and Y have exponential distributions Exp(3) (i.e, with the parameter 3) We assume that X and Y are independent. Let U=X+2Y and V=-X+Y. Represent (X,Y) as a function of (U,V). Find the joint density f(u,v) for (U,V) (Hint: take into account the region where it is non-zero). Calculate f(1,0) and input it as the answer.

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