Weibull Command

Weibull( <Shape>, <Scale>, <Variable Value> )

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

  • Weibull(0.5, 1, 0) yields 0.

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

This syntax returns the probability at a given value, that is the area under the Weibull distribution curve to the left of the given x-coordinate.
Weibull( <Shape>, <Scale>, <Variable Value>, <Boolean Cumulative> )

If Cumulative = true, evaluates the cumulative distribution function of a Weibull distribution with given shape and scale at the given variable value, otherwise it evaluates the probability density function of the distribution at variable value.

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

If Cumulative = true, creates the cumulative density function (cdf) of a Weibull distribution with given shape and scale, otherwise it creates the probability density function (pdf) of the distribution.