BUILT-IN MATHEMATICA SYMBOL

# ProbabilityDistribution

ProbabilityDistribution[pdf, {x, xmin, xmax}]
represents the continuous distribution with PDF pdf in the variable x where the pdf is taken to be zero for and .

ProbabilityDistribution[pdf, {x, xmin, xmax, dx}]
represents the discrete distribution with PDF pdf in the variable x where the pdf is taken to be zero for and .

ProbabilityDistribution[pdf, {x, ...}, {y, ...}, ...]
represents a multivariate distribution with PDF pdf in the variables x, y, ..., etc.

ProbabilityDistribution[{"CDF", cdf}, ...]
represents a probability distribution with CDF given by cdf.

ProbabilityDistribution[{"SF", sf}, ...]
represents a probability distribution with survival function given by sf.

ProbabilityDistribution[{"HF", hf}, ...]
represents a probability distribution with hazard function given by hf.

## ExamplesExamplesopen allclose all

### Basic Examples (1)Basic Examples (1)

Define a continuous probability distribution:

Probability density function:

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Cumulative distribution function:

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The mean and variance:

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