Difference between revisions of "Exponential Command"
From GeoGebra Manual
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;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).}} | ||
| − | ==CAS | + | ==CAS Syntax== |
In [[CAS View]] only following syntax is supported: | In [[CAS View]] only following syntax is supported: | ||
;Exponential[ <Mean λ>, <Variable Value v>] | ;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. | :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. | ||
| + | :{{example|1=<div><code><nowiki>Exponential[4, 3]</nowiki></code> gives ''<math>\frac{d<sup>12</sup>-1}{e12}</math>'', the sum of all positive divisors of ''15'', including ''15''.</div>}} | ||
Revision as of 11:05, 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 Syntax
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.
- Example:
Exponential[4, 3]gives \frac{d12-1}{e12}, the sum of all positive divisors of 15, including 15.
