# Bernoulli distribution

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Related to Bernoulli random variable: binomial random variable, Poisson random variable

## Bernoulli distribution

n.

[After Jakob Bernoulli.]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 Bernoulli distribution - a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of successbinomial distributiondistribution, statistical distribution - (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrencestatistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
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Thus, X [member of] Bern(p) and we have generated a Bernoulli random variable.
That is, twice the variance of a Bernoulli random variable (the same relationship as the one existing between variance and quasivariance, on the one hand, and both squared pairwise differences means, on the other, in the case of quantitative variables).
The result is a Bernoulli random variable which, over repeated trials, generates a binomial random variable.

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