BUILT-IN MATHEMATICA SYMBOL

# PDF

PDF[dist, x]
gives the probability density function for the symbolic distribution dist evaluated at x.

PDF[dist, {x1, x2, ...}]
gives the multivariate probability density function for a symbolic distribution dist evaluated at .

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

## DetailsDetails

• For discrete distributions, PDF is also known as a probability mass function.
• For continuous distributions, PDF[dist, x] dx gives the probability that an observed value will lie between x and for infinitesimal dx.
• For discrete distributions, PDF[dist, x] gives the probability that an observed value will be x.
• For continuous multivariate distributions, PDF[dist, {x1, x2, ...}]dx1 dx2 ... gives the probability that an observed value will lie in the box given by the limits and for infinitesimal .
• For discrete multivariate distributions, PDF[dist, {x1, x2, ...}] gives the probability that an observed value will be .

## ExamplesExamplesopen allclose all

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

The PDF of a univariate continuous distribution:

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The PDF of a univariate discrete distribution:

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The PDF of a multivariate continuous distribution:

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The PDF for a multivariate discrete distribution:

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