Suppose n people arrive for a show and leave their coats in the cloakroom. Unfor-tunately, the cloakroom attendant mixes up the coats completely so that each personleaves with a random coats. Let us assume that all n! assignments of coats are equallylikely. Let 0 ≤ l ≤ n be a fixed number. Find the probability that exactly ¤ people outof n get their own coat back, and find the limit p(l) of this probability as n → ∞. Thedistribution on NU {0} given by p(l) is known as the Poisson distribution.

Answered: Image /qna-images/answer/2a7d9323-fdf0-4ea9-a9ce-8b0fd8066e95.jpg

Answered: Suppose n people arrive for a show and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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