88. In Section 3.6.3, we saw that if U is a random variable that is uniform onI mage and if, conditional onI mage is binomial with parameters n and p, then For another way of showing this result, let be independent uniform (0, 1) random variables. Define X by That is, if the variables are ordered from smallest to largest, then U would be in position .

(a) What is ?

(b) Explain how this proves the result of Section 3.6.3.