# Wolfram Language & System 10.4 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
BUILT-IN WOLFRAM LANGUAGE SYMBOL

# MixtureDistribution

MixtureDistribution[{w1,,wn},{dist1,,distn}]
represents a mixture distribution whose CDF is given as a sum of the CDFs of the component distributions , each with weight .

## DetailsDetails

• The cumulative distribution function for value is proportional to , where is the CDF for .
• The distributions need to be all continuous or all discrete, and have the same dimensionality.
• The weights can be any non-negative real numbers.
• MixtureDistribution can be used with such functions as Mean, CDF, and RandomVariate, etc.

## ExamplesExamplesopen allclose all

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

Define a mixture of two continuous distributions:

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Define a mixture of two discrete distributions:

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Define a multivariate mixture:

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