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