Difference between revisions of "Triangular Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|probability}}
{{command|probability}}
 
 
;Triangular[ <Lower Bound>, <Upper Bound>, <Mode>, x ]
 
;Triangular[ <Lower Bound>, <Upper Bound>, <Mode>, x ]
 
:Creates probability density function of [[w:Triangular distribution|triangular distribution]] with parameters ''min, max, mod''.
 
:Creates probability density function of [[w:Triangular distribution|triangular distribution]] with parameters ''min, max, mod''.

Revision as of 14:39, 11 August 2015


Triangular[ <Lower Bound>, <Upper Bound>, <Mode>, x ]
Creates probability density function of triangular distribution with parameters min, max, mod.
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 min, max, mod.
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

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:
Triangular[ 0, 5, 2, 2 ] yields 0.4.
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