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Bernoulli random variable
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(Definition)
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$X$ is a Bernoulli random variable with parameter <</SPAN>#58#>$p$ if
$f_X(x) = p^x (1-p)^{1-x}$ $x=\{0,1\}$
Parameters:
- $\star$
- $p \in [0,1]$
Syntax:
$X\sim Bernoulli(p)$
Notes:
- $X$ represents the number of successful results in a Bernoulli trial. A Bernoulli trial is an experiment in which only two outcomes are possible: success, with probability $p$ and failure, with probability $1-p$
- $E[X] = p$
- $Var[X] = p(1-p)$
- $M_X(t) = p e^t + (1-p)$
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"Bernoulli random variable" is owned by Riemann.
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Cross-references: outcomes, number, represents, syntax, parameter
There are 2 references to this entry.
This is version 2 of Bernoulli random variable, born on 2001-10-26, modified 2001-10-26.
Object id is 517, canonical name is BernoulliRandomVariable.
Accessed 16643 times total.
Classification:
| AMS MSC: | 60-00 (Probability theory and stochastic processes :: General reference works ) |
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Pending Errata and Addenda
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