The airplane has 101 seats. The first 100 people who showed up took seats at random, but the last one insisted on taking the assigned seat. Compute the expected value and the variance of the number of people who will have to move (a displaced person moves to the corresponding assigned seat; if the seat is occupied, whoever occupies it moves to the corresponding assigned seat, etc. As a result, any number of movements, from 0 to 100 is possible)