# Wolfram Language & System 11.0 (2016)|Legacy Documentation

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

# CDF

CDF[dist,x]
gives the cumulative distribution function for the symbolic distribution dist evaluated at x.

CDF[dist,{x1,x2,}]
gives the multivariate cumulative distribution function for the symbolic distribution dist evaluated at {x1,x2,}.

CDF[dist]
gives the CDF as a pure function.

## DetailsDetails

• CDF[dist,x] gives the probability that an observed value will be less than or equal to x.
• CDF[dist,x] is equivalent to Probability[ξx,ξdist].
• CDF[dist,{x1,,xn}] is equivalent to Probability[ξ1x1ξnxn,{ξ1,,ξn}dist].
• CDF[dist,x] is equivalent to 1-SurvivalFunction[dist,x].

## ExamplesExamplesopen allclose all

### Basic Examples  (4)Basic Examples  (4)

The CDF of a univariate continuous distribution:

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The CDF of a univariate discrete distribution:

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The CDF of a bivariate continuous distribution:

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The CDF for a multivariate Poisson distribution:

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