Weibull Command

Weibull[ <Shape>, <Scale>, x ]

Creates probability density function (pdf) of Weibull distribution with parameters shape k and scale λ

Weibull[ <Shape>, <Scale>, x, <Boolean Cumulative> ]

If Cumulative is true, creates cumulative distribution function of Weibull distribution, otherwise creates pdf of Weibull distribution.

Weibull[ <Shape>, <Scale>, <Variable Value> ]

Calculates the value of cumulative distribution function of Weibull distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with Weibull distribution given by parameters shape k and scale λ.

Note: Returns the probability for a given x-coordinate's value (or area under the Weibull distribution curve to the left of the given x-coordinate).

CAS Syntax

Weibull[ <Shape>, <Scale>, <Variable Value> ]

Calculates the value of cumulative distribution function of Weibull distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with Weibull distribution given by parameters shape k and scale λ.

Examples:

• Weibull[ 0.5, 1, 0] yields 0.
• Weibull[ 0.5, 1, 1] yields \frac{ e-1} { e } .