Let n be a positive integer Let S be the set of integers bet

Let n be a positive integer. Let S be the set of integers between 1 and n. Consider the following process: We remove a number from S at random and write it down. We repeat this until S is empty. The result is a permutation of the integers from 1 to n. let X denote this permutation. Is X uniformly distributed?

Solution

Yes, X follows a uniform distribution, since, the range of X is (1<x<n)