Difference between revisions of "Triangular Command"

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{{command|probability}}
 
{{command|probability}}
 
;Triangular[ <Lower Bound min>, <Upper Bound max>, <Mode mod>, x ]
 
;Triangular[ <Lower Bound min>, <Upper Bound max>, <Mode mod>, x ]
:Creates probability density function (pdf) 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''.
 
;Triangular[  <Lower Bound min>, <Upper Bound max>, <Mode mod>, x, <Boolean Cumulative> ]
 
;Triangular[  <Lower Bound min>, <Upper Bound max>, <Mode mod>, x, <Boolean Cumulative> ]
:If ''Cumulative'' is true, creates cumulative distribution function of triangular distribution, otherwise creates pdf 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 min>, <Upper Bound max>, <Mode mod>, <Variable Value v> ]: Calculates the value of cumulative distribution function of triangular distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with triangular distribution given by parameters ''min, max, mod''.
 
; Triangular[ <Lower Bound min>, <Upper Bound max>, <Mode mod>, <Variable Value v> ]: Calculates the value of cumulative distribution function of triangular distribution at ''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).}}
 
:{{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).}}

Revision as of 10:53, 27 July 2011



Triangular[ <Lower Bound min>, <Upper Bound max>, <Mode mod>, x ]
Creates probability density function of triangular distribution with parameters min, max, mod.
Triangular[ <Lower Bound min>, <Upper Bound max>, <Mode mod>, 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 min>, <Upper Bound max>, <Mode mod>, <Variable Value v> ]
Calculates the value of cumulative distribution function of triangular distribution at 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 Syntaxes

In CAS View only following syntax is supported:

Triangular[ <Lower Bound min>, <Upper Bound max>, <Mode mod>, <Variable Value v>]
Calculates the value of cumulative distribution function of triangular distribution at 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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