# Question: The number of people who enter an elevator on the

The number of people who enter an elevator on the ground floor is a Poisson random variable with mean 10. If there are N floors above the ground floor, and if each person is equally likely to get off at any one of the N floors, independently of where the others get off, compute the expected number of stops that the elevator will make before discharging all of its passengers.

**View Solution:**## Answer to relevant Questions

There are n + 1 participants in a game. Each person independently is a winner with probability p. The winners share a total prize of 1 unit. (For instance, if 4 people win, then each of them receives 1/4, whereas if there ...An urn contains 30 balls, of which 10 are red and 8 are blue. From this urn, 12 balls are randomly withdrawn. Let X denote the number of red and Y the number of blue balls that are withdrawn. Find Cov(X, Y) (a) By defining ...Suppose that A and B each randomly and independently choose 3 of 10 objects. Find the expected number of objects (a) Chosen by both A and B; (b) Not chosen by either A or B; (c) Chosen by exactly one of A and B. A total of n balls, numbered 1 through n, are put into n urns, also numbered 1 through n in such a way that ball i is equally likely to go into any of the urns 1, 2, . . . , i. Find (a) The expected number of urns that are ...Suppose that X is a continuous random variable with density function f. Show that E[|X − a|] is minimized when a is equal to the median of F. Write Now break up the integral into the regions where x < a and where x > a, ...Post your question