Difference between revisions of "Erlang Command"
From GeoGebra Manual
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{{command|probability}} | {{command|probability}} | ||
| − | ;Erlang[ <Shape>, <Rate>, x ] | + | ;Erlang[ <Shape k>, <Rate λ>, <Mode mod>, x ] |
| − | : | + | :Creates probability density function (pdf) of [[w:Erlang distribution|Erlang distribution]] with parameters ''k, λ''. |
| − | ;Erlang[ <Shape>, <Rate>, x, <Boolean Cumulative> ] | + | ;Erlang[ <Shape k>, <Rate λ>, x, <Boolean Cumulative> ] |
| − | :{{ | + | :If ''Cumulative'' is true, creates cumulative density function of Erlang distribution, otherwise creates pdf of Erlang distribution. |
| − | ;Erlang[ <Shape>, <Rate>, <Variable Value> ] | + | ;Erlang[ <Shape k>, <Rate λ>, <Variable Value v> ]: Calculates the value of cumulative distribution function of Erlang distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Erlang distribution given by parameters ''k, λ''. |
| − | : | + | :{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the Erlang distribution curve to the left of the given ''x''-coordinate).}} |
| + | ==CAS Syntaxes== | ||
| + | In [[CAS View]] only following syntax is supported: | ||
| + | ;Erlang[ <Shape k>, <Rate λ>, <Variable Value v>] | ||
| + | :Calculates the value of cumulative distribution function of Erlang distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Erlang distribution given by parameters ''k, λ''. | ||
Revision as of 14:54, 21 July 2011
- Erlang[ <Shape k>, <Rate λ>, <Mode mod>, x ]
- Creates probability density function (pdf) of Erlang distribution with parameters k, λ.
- Erlang[ <Shape k>, <Rate λ>, x, <Boolean Cumulative> ]
- If Cumulative is true, creates cumulative density function of Erlang distribution, otherwise creates pdf of Erlang distribution.
- Erlang[ <Shape k>, <Rate λ>, <Variable Value v> ]
- Calculates the value of cumulative distribution function of Erlang distribution at v, i.e. the probability P(X≤v) where X is a random variable with Erlang distribution given by parameters k, λ.
- Note: Returns the probability for a given x-coordinate's value (or area under the Erlang distribution curve to the left of the given x-coordinate).
CAS Syntaxes
In CAS View only following syntax is supported:
- Erlang[ <Shape k>, <Rate λ>, <Variable Value v>]
- Calculates the value of cumulative distribution function of Erlang distribution at v, i.e. the probability P(X≤v) where X is a random variable with Erlang distribution given by parameters k, λ.
