Bernoulli Distribution:

A random variable x has a Bernoulli distribution with parameter 0 < p < 1 if

P(x) = ì ï í ï î 1-p, x=0 p, x=1 0, x Ï {0, 1}

where P(A) is the probability of outcome A. The parameter p is often called the "probability of success". For example, a single toss of a coin has a Bernoulli distribution with p=0.5 (where 0 = "head" and 1 = "tail").

The Bernoulli distribution plays a fundamental role in probability theory and statistics. It is a good model for any random experiment with two possible outcomes, for example, yes/no answer (of a respondent in an opinion poll), died/survived (in a drug trial) etc.

See also: Binomial distribution.

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