The Bernoulli distribution

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A Bernoulli trial is an experiment that has one of two possible outcomes, ‘success’ with probability  and ‘failure’ with probability . The Bernoulli distribution is a probability distribution that takes the value of 1 if such a trial is a ‘success’ and 0 if it is a ‘failure’.


The Bernoulli distribution is a special case of the binomial distribution, , with . For characteristics of the Bernoulli distribution (e.g. mean, standard deviation etc.), please refer to the corresponding characteristics for the binomial distribution.


For other probability distributions see here.

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