# Wolfram Language & System 10.0 (2014)|Legacy Documentation

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

# WeibullDistribution

WeibullDistribution[α,β]
represents a Weibull distribution with shape parameter α and scale parameter β.

WeibullDistribution[α,β,μ]
represents a Weibull distribution with shape parameter α, scale parameter β, and location parameter μ.

## DetailsDetails

• The probability density for value in a Weibull distribution is proportional to for , and is zero for . »
• The probability density for value in a Weibull distribution with location parameter is proportional to for and is zero for .
• WeibullDistribution allows α and β to be any positive real numbers and μ to be any real number.
• WeibullDistribution can be used with such functions as Mean, CDF, and RandomVariate. »

## ExamplesExamplesopen allclose all

### Basic Examples  (5)Basic Examples  (5)

Probability density function:

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With location parameter:

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Cumulative distribution function:

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With location parameter:

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Mean:

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Variance:

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Median:

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