Difference between revisions of "Exponential Command"
From GeoGebra Manual
m (Bot: Automated text replacement (-cumulative density +cumulative distribution)) |
|||
| Line 4: | Line 4: | ||
: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 | + | :If ''Cumulative'' is true, creates cumulative distribution function 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 10:24, 2 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 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.
