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Let X1, X2, and X3 be three independent gamma random variables with parameters (, 2), (3, 2), (, 2) respectively. Use the joint distribution of functions of random variables and the Jacobian to show that Y1 = and Y2 = X1+ X2 are independent and that Y2 ~ I'(, 2). Conclude by reasoning that and го Хз are independent. r1trg

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