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Bernoulli Distribution

Overview

The Bernoulli distribution is a discrete probability distribution with the only two possible values for the random variable. Each instance of an event with a Bernoulli distribution is called a Bernoulli trial.

Parameters

The Bernoulli distribution uses the following parameter.

ParameterDescriptionSupport
pProbability of success

Probability Mass Function

The probability mass function (pmf) is

Descriptive Statistics

The mean is

The variance is

Relationship to Other Distributions

The Bernoulli distribution is a special case of the binomial distribution, with the number of trials n = 1. The geometric distribution models the number of Bernoulli trials before the first success (or first failure).

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