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Bernoulli Distribution


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.


The Bernoulli distribution uses the following parameter.

pProbability of success0p1

Probability Mass Function

The probability mass function (pmf) is


Mean and Variance

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).

See Also

Related Topics