Question: Suppose that X1, X2, X3 have joint density f(x1, x2, x3) = x1x2x3 for 0 < xi < c, i = 1, 2, 3 0

Suppose that X1, X2, X3 have joint density f(x1, x2, x3) = x1x2x3 for 0 < xi <

c, i = 1, 2, 3 0 otherwise.

Find: (i)

c. (ii) The joint density of (Y1, Y2, Y3), where Y1 = X1, Y2 = X1X2, and Y3 = X1X2X3.

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