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Binomial Distribution

1 min read

probability-theory

Definition

Binomial Distribution

The Binomial distribution models the number of success in independent Bernoulli trials with success probability .

Probability Mass Function

The probability mass function is given by:

for with …

Expected Value

We can write (random variable) as the sum of and use the linearity of the expectation:

Variance

Using that (random variable) is a sum of independent and identically distributed Bernoulli trials gives a variance:

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