Q:

Obtain an expression for the third moment of a binomial distribution. What is the behavior of this moment for large N?

belongs to book: Introduction to statistical physics|sílvio-r.-a.-salinas|| Chapter number:1| Question number:3

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2022-05-25

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Obtain an expression for the third moment of a binomial distribution.
What is the behavior of this moment for large N?

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examplegeek

2022-05-25

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Using the tricks introduced in the text, it is easy to see that

Note that

(∆N )³ = 0 for p = q (same probabilities). Also, note the dependence of (∆N₁)³ on N, so that

for large N.

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