Question: Consider two random variables X and Y with the joint probability density Find the probability density of Z = XY2 by using Theorem 7.1 (as

Consider two random variables X and Y with the joint probability density

Find the probability density of Z = XY2 by using Theorem 7.1 (as modified on page 216) to determine the joint probability density of Y and Z and then integrating out y.

12xy(1-y) for 0

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