Weibull Command

Weibull( <Shape>, <Scale>, x )

Creates cumulative density function (cdf) 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.

Examples:

  • Weibull(0.5, 1, 0) yields 0.

  • Weibull(0.5, 1, 1) yields \(1 - \frac{1} \{ e } \).

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).