5.2-2Let X1 and X2 be independent chi-square random variables with r1 and r2 degrees of freedom, respectively. LetY1=(X1/r)/(X272) and Y2 = X2 .(a) Find the joint pdf of Y1 and Y2.(b) Determine the marginal pdf of Y1.

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Answered: 5.2-2 Let X1 and X2 be independent…

A First Course in Probability (10th Edition)

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5.2-2 Let X1 and X2 be independent chi-square random variables with r1 and r2 degrees of freedom, respectively. Let Y1=(X1/rj)/(X272) and Y2 =X2 . (a) Find the joint pdf of Y1 and Y2. (b) Determine the marginal pdf of Y1.