Difference between revisions of "Exponential Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} | ||
;Exponential( <Lambda>, x ) | ;Exponential( <Lambda>, x ) | ||
| − | :Creates | + | :Creates cumulative density function (cdf) of [[w:Exponential distribution|exponential distribution]] with parameter ''lambda''. |
;Exponential( <Lambda>, x, <Boolean Cumulative> ) | ;Exponential( <Lambda>, x, <Boolean Cumulative> ) | ||
:If ''Cumulative'' is true, creates cumulative distribution function (cdf) of exponential distribution, otherwise creates pdf of Exponential distribution. | :If ''Cumulative'' is true, creates cumulative distribution function (cdf) of exponential distribution, otherwise creates pdf of Exponential distribution. | ||
Latest revision as of 11:16, 30 July 2019
- Exponential( <Lambda>, x )
- Creates cumulative density function (cdf) of exponential distribution with parameter lambda.
- Exponential( <Lambda>, x, <Boolean Cumulative> )
- If Cumulative is true, creates cumulative distribution function (cdf) of exponential distribution, otherwise creates pdf of Exponential distribution.
- Exponential( <Lambda>, <Variable Value> )
- Calculates the value of cumulative distribution function of Exponential distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with Exponential distribution with parameter lambda.
- Note: Returns the probability for a given x-coordinate's value (or area under the Exponential distribution curve to the left of the given x-coordinate).
CAS Syntax
- Exponential( <Lambda>, <Variable Value> )
- Calculates the value of cumulative distribution function of exponential distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with Exponential distribution with parameter lambda.
- Example:
Exponential(2, 1)yields 1 - \frac{1}{e^{2} } , which is approximately 0.86.
