BUILT-IN MATHEMATICA SYMBOL

# Distributed

Distributed[x, dist]
or asserts that the random variable x is distributed according to the probability distribution dist.

Distributed[{x1, x2, ...}, dist]
or asserts that the random vector is distributed according to the multivariate probability distribution dist.

## DetailsDetails

• can be entered as x EscdistEsc dist or .
• is a symbolic object used in functions such as Probability and Expectation.
• The probability distribution dist can be any symbolic probability distribution specification.

## ExamplesExamplesopen allclose all

### Basic Examples (3)Basic Examples (3)

Compute the probability of an event in a symbolic probability distribution:

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Obtain the numerical value directly using NProbability:

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Compute the expectation of a function in a multivariate probability distribution:

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Mean and variance for the distribution obtained by transformation of a random variable:

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