There are 2 candidates (A and B) for mayor in a city of 40,000 voters. Suppose that everyone votes (independently from each other) and the candidates are equally popular. (a) What are the expectation and the standard deviation of the number of votes for candidate A? (b) What is the approximate probability that the elections will be so close, that the winner is ahead by at most 20 votes?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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 2 candidates (A and B) for mayor in a city of 40,000 voters. Suppose
that everyone votes (independently from each other) and the candidates are equally popular.
(a) What are the expectation and the standard deviation of the number of votes for candidate A?
(b) What is the approximate probability that the elections will be so close, that the winner is ahead by at most 20 votes?

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