Difference between revisions of "Exponential Command"

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;Exponential[ <Rate parameter λ>, x ]

Revision as of 21:13, 9 March 2013



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

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.
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