5. A group of n people stand in a line. On the count of three, each of them simultaneouslychooses to look either left or right (with equal probability): at one of their neighbors.Let X be the number of pairs of adjacent people that end up facing each other. (For example,if n = 5 and the random facings are "Left, Left, Right, Left, Right" then only the 3rd and 4thpeople face each other.)(a) Find the expected value E[X].(b) Find Pr[X=0].(c) Assuming n is even, find the maximum possible value of X, and the probability that Xis equal to that value.

n this problem, we consider a group of n people standing in a line. Each person chooses to look left…

Answered: 5. A group of n people stand in a line.…

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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