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 Probability mass function Cumulative distribution function Parameters (real) Support Template:Probability distribution/link mass cdf Mean Median N/A Mode Variance Skewness Kurtosis Entropy mgf Char. func. In probability theory and statistics, the Bernoulli distribution, named after Swiss scientist Jakob Bernoulli, is a discrete probability distribution, which takes value 1 with success probability and value 0 with failure probability . So if X is a random variable with this distribution, we have: The probability mass function f of this distribution is The expected value of a Bernoulli random variable X is , and its variance is The Bernoulli distribution is a member of the exponential family.

## Related distributions

• If are independent, identically distributed random variables, all Bernoulli distributed with success probability p, then (binomial distribution).

## See also

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