Question: 1. For the first part, find the joint density function of X and XY by the method of change of variables, and then find the

1. For the first part, find the joint density function of X and XY by the method of change of variables, and then find the marginal density function of XY.

2. No.

3. The region

(x, y, z) : √4xz < y ≤ 1, 0 ≤ x, z ≤ 1

has volume 5 36 + 1 6 log 2.

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