The Bernoulli distribution is the probability mass function that describes a discrete trial with two possible outcomes. We define the Bernoulli trial as:
is the parameter that the distribution follows.
For example, the distributions below are for and .1
Calculations
The arithmetic mean:
The population variance:
See also
- Binomial distribution, a generalisation of the Bernoulli distribution
Footnotes
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From Statistics for Engineers and Scientists by William Navidi. ↩