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Bernoulli Distribution

Probability and Statistics

The Bernoulli distribution, named after the Swiss mathematician Jacob Bernoulli, is the discrete probability distribution of a random variable that takes the value 1 with probability p and the value 0 with probability q equal to 1 minus p. Informally, it models the outcome of any single yes-or-no experiment, producing a boolean-valued result that represents success or failure at a fixed probability. It is the simplest building block of discrete probability theory and underlies more complex distributions such as the binomial.

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1. Bernoulli Distribution (Wikipedia)
  • Lead section
    In probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is the discrete probability distribution of a random variable which takes the value 1 with probability p {\displaystyle p} and the value 0 with probability q = 1 − p {\displaystyle q=1-p} . Less formally, it can be thought of as a model for the set of possible outcomes of any single experiment that asks a yes-no question.
  • In Branch: Probability and Statistics, Lead sentence
    In probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is the discrete
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