Exponential Command

From GeoGebra Manual
Revision as of 13:41, 9 September 2011 by Alexander Hartl (talk | contribs)
Jump to: navigation, search



Exponential[ <Rate parameter λ>, x ]
Creates probability density function (pdf) of exponential distribution with rate parameter λ.
Exponential[ <Rate parameter λ>, x, <Boolean Cumulative> ]
If Cumulative is true, creates cumulative distribution function (cdf) of exponential distribution, otherwise creates pdf of Exponential distribution.
Exponential[ <Rate parameter λ>, <Variable Value v> ]
Calculates the value of cumulative distribution function of Exponential distribution at v, i.e. the probability P(X≤v) where X is a random variable with Exponential distribution with rate parameter λ.
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

In CAS View only following syntax is supported:

Exponential[ <Rate parameter λ>, <Variable Value v> ]
Calculates the value of cumulative distribution function of exponential distribution at v, i.e. the probability P(X≤v) where X is a random variable with Exponential distribution with rate parameter λ.
Example:
Exponential[2, 1] yields \frac{e^{2}-1}{e^{2} } , which is approximately 0.86.
© 2022 International GeoGebra Institute