Question: 1. Problem 10.4 A stick of unit length is broken at random into two pieces. Let the random variable X represent the length of the

1. Problem 10.4 A stick of unit length is broken at random into two pieces. Let the random variable X represent the length of the shorter piece. What is the probability density of X? Also, use the probability distribution function of X to give an alternative derivation of the probability density of the random variable X/(1 − X) from Example 10.1.

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