There are N people sitting around a round table, where N > 5. Each person tosses a coin. Anyone whose outcome is different from his/her two neighbors will receive a present. Let X be the number of people who receive presents. Find E[X] and Var(X).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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There are N people sitting around a round table, where N > 5. Each person tosses a coin.
Anyone whose outcome is different from his/her two neighbors will receive a present. Let X
be the number of people who receive presents. Find E[X] and Var(X).
Transcribed Image Text:There are N people sitting around a round table, where N > 5. Each person tosses a coin. Anyone whose outcome is different from his/her two neighbors will receive a present. Let X be the number of people who receive presents. Find E[X] and Var(X).
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