Difference between revisions of "Weibull Command"
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;Weibull[ <Shape k>, <Scale λ>, <Variable Value v> ]: Calculates the value of cumulative distribution function of Weibull distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Weibull distribution given by parameters ''k, λ''. | ;Weibull[ <Shape k>, <Scale λ>, <Variable Value v> ]: Calculates the value of cumulative distribution function of Weibull distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Weibull distribution given by parameters ''k, 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).}} | :{{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 | + | ==CAS Syntax== |
;Weibull[ <Shape k>, <Scale λ>, <Variable Value v>] | ;Weibull[ <Shape k>, <Scale λ>, <Variable Value v>] | ||
:Calculates the value of cumulative distribution function of Weibull distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Weibull distribution given by parameters ''k, λ''. | :Calculates the value of cumulative distribution function of Weibull distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Weibull distribution given by parameters ''k, λ''. | ||
| + | :{{examples|1=<div> | ||
| + | :* <code><nowiki>Weibull[ 0.5, 1, 0]</nowiki></code> yields ''0''. | ||
| + | :* <code><nowiki>Weibull[ 0.5, 1, 1]</nowiki></code> yields ''<math>\frac{ \sqrt{e}-1} { \sqrt{e} } </math>.''</div>}} | ||
Revision as of 14:12, 19 December 2012
- Weibull[ <Shape k>, <Scale λ>, x]
- Creates probability density function (pdf) of Weibull distribution with parameters k, λ.
- Weibull[ <Shape k>, <Scale λ>, x, <Boolean Cumulative> ]
- If Cumulative is true, creates cumulative distribution function of Weibull distribution, otherwise creates pdf of Weibull distribution.
- Weibull[ <Shape k>, <Scale λ>, <Variable Value v> ]
- Calculates the value of cumulative distribution function of Weibull distribution at v, i.e. the probability P(X≤v) where X is a random variable with Weibull distribution given by parameters k, 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 k>, <Scale λ>, <Variable Value v>]
- Calculates the value of cumulative distribution function of Weibull distribution at v, i.e. the probability P(X≤v) where X is a random variable with Weibull distribution given by parameters k, λ.
- Examples:
Weibull[ 0.5, 1, 0]yields 0.Weibull[ 0.5, 1, 1]yields \frac{ \sqrt{e}-1} { \sqrt{e} } .
