Question: Suppose that three random variables X1, X2, and X3 have a continuous joint distribution for which the joint p.d.f. is as follows: Suppose also that

Suppose that three random variables X1, X2, and X3 have a continuous joint distribution for which the joint p.d.f. is as follows:

Suppose that three random variables X1, X2, and X3 have

Suppose also that Y1 = X1, Y2 = X1X2, and Y3 = X1X2X3. Find the joint p.d.f. of Y1, Y2, and Y3.

8x1x2x3 for 0 < xi < 1 ( = 1, 2, 3), f (x1, x2, x3) otherwise

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