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Binomial Distribution

The distribution on counts successes in independent Bernoulli trials:

For a coin toss, is the probability of obtaining heads in tosses.

Definition 2.21 (Binomial Distribution)

A binomial distribution models the number of successes in independent Bernoulli trials, each with success probability .

The binomial distribution with parameters and is defined by

where is called the binomial distribution. Note that in the case of a coin toss,

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