Difference between revisions of "Triangular Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|probability}}
{{command|probability}}
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;Triangular( <Lower Bound>, <Upper Bound>, <Mode>, x )
;Triangular[ <Lower Bound>, <Upper Bound>, <Mode>, x ]
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:Creates cumulative density function of [[w:Triangular distribution|triangular distribution]] with parameters ''lower Bound, upper Bound, Mode''.
:Creates probability density function of [[w:Triangular distribution|triangular distribution]] with parameters ''min, max, mod''.
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;Triangular( <Lower Bound>, <Upper Bound>, <Mode>, x, <Boolean Cumulative> )
;Triangular[ <Lower Bound>, <Upper Bound>, <Mode>, x, <Boolean Cumulative> ]
 
 
:If ''Cumulative'' is true, creates cumulative distribution function of triangular distribution, otherwise creates probability density function of triangular distribution.
 
:If ''Cumulative'' is true, creates cumulative distribution function of triangular distribution, otherwise creates probability density function of triangular distribution.
; Triangular[ <Lower Bound>, <Upper Bound>, <Mode>, <Variable Value> ]: Calculates the value of cumulative distribution function of triangular distribution at ''Variable Value v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with triangular distribution given by parameters ''min, max, mod''.
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; Triangular( <Lower Bound>, <Upper Bound>, <Mode>, <Variable Value> ): Calculates the value of cumulative distribution function of triangular distribution at ''Variable Value v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with triangular distribution given by parameters ''lower Bound, upper Bound, Mode''.
 
:{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the triangular 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 triangular distribution curve to the left of the given ''x''-coordinate).}}
==CAS Syntax==
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:{{example|1=<code><nowiki>Triangular(0, 5, 2, 2)</nowiki></code> yields ''0.4''.}}
;Triangular[ <Lower Bound>, <Upper Bound>, <Mode>, <Variable Value>]
 
:Calculates the value of cumulative distribution function of triangular distribution at ''Variable Value v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with triangular distribution given by parameters ''min, max, mod''.
 
:{{example|1=<div><code><nowiki>Triangular[ 0, 5, 2, 2 ]</nowiki></code> yields ''0.4''.</div>}}
 

Latest revision as of 11:20, 30 July 2019


Triangular( <Lower Bound>, <Upper Bound>, <Mode>, x )
Creates cumulative density function of triangular distribution with parameters lower Bound, upper Bound, Mode.
Triangular( <Lower Bound>, <Upper Bound>, <Mode>, x, <Boolean Cumulative> )
If Cumulative is true, creates cumulative distribution function of triangular distribution, otherwise creates probability density function of triangular distribution.
Triangular( <Lower Bound>, <Upper Bound>, <Mode>, <Variable Value> )
Calculates the value of cumulative distribution function of triangular distribution at Variable Value v, i.e. the probability P(X≤v) where X is a random variable with triangular distribution given by parameters lower Bound, upper Bound, Mode.
Note: Returns the probability for a given x-coordinate's value (or area under the triangular distribution curve to the left of the given x-coordinate).
Example: Triangular(0, 5, 2, 2) yields 0.4.
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