Let a be an array of length n - 1 whose elements are chosen


Question: Let A be an array of length n - 1 (whose elements are chosen from some ordered set), sorted into increasing order. Let b be another element of that ordered set that we want to insert into A to get a sorted array of length n. Assuming that the elements of A and b are chosen randomly, what is the expected number of elements of A that have to be shifted one place to the right to let us insert b?

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Mathematics: Let a be an array of length n - 1 whose elements are chosen
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