Question: 2. Let X1 be a random point from the interval (0, 1), X2 be a random point from the interval (0,X1), X3 be a random

2. Let X1 be a random point from the interval (0, 1), X2 be a random point from the interval (0,X1), X3 be a random point from the interval (0,X2), · · · , and Xn be a random point from the interval (0,Xn−1). Find the joint probability density function of X1, X2, . . . , Xn.

Hint: Use relation 9.12.

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