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Bernoulli Distribution

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The Concise Encyclopedia of Statistics
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random variable X follows a Bernoulli distribution with parameter p if its probability function takes the form:

$$ P(X=x) = \begin{cases} p & \text{for}\enskip x = 1 \\ q = 1 - p & \text{for}\enskip x = 0 \end{cases}\:. $$

where p and q represent, respectively, the probabilities of “success” and “failure,” symbolized by the values 1 and 0.

figure 1_24

Bernoulli's law, \( { p=0.3 } \), \( { q=0.7 } \)

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© 2008 Springer-Verlag

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(2008). Bernoulli Distribution. In: The Concise Encyclopedia of Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-32833-1_24

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