Difference between revisions of "Exponential Command"

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m (Bot: Automated text replacement (-cumulative density +cumulative distribution))
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:Creates probability density function (pdf) of [[w:Exponential distribution|exponential distribution]] with mean λ.
 
:Creates probability density function (pdf) of [[w:Exponential distribution|exponential distribution]] with mean λ.
 
;Exponential[ <Mean λ>, x, <Boolean Cumulative> ]
 
;Exponential[ <Mean λ>, x, <Boolean Cumulative> ]
:If ''Cumulative'' is true, creates cumulative distribution function of exponential distribution, otherwise creates pdf of Exponential distribution.
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:If ''Cumulative'' is true, creates cumulative distribution function (cdf) of exponential distribution, otherwise creates pdf of Exponential distribution.
 
;Exponential[ <Mean 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 mean λ.
 
;Exponential[ <Mean 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 mean 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).}}
 
:{{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).}}

Revision as of 10:59, 5 August 2011



Exponential[ <Mean λ>, x ]
Creates probability density function (pdf) of exponential distribution with mean λ.
Exponential[ <Mean λ>, x, <Boolean Cumulative> ]
If Cumulative is true, creates cumulative distribution function (cdf) of exponential distribution, otherwise creates pdf of Exponential distribution.
Exponential[ <Mean 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 mean 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 Syntaxes

In CAS View only following syntax is supported:

Exponential[ <Mean 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 mean λ.
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