Difference between revisions of "Triangular Command"

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.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.0}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|probability}}
-{{command|probability}}
+;Triangular( <Lower Bound>, <Upper Bound>, <Mode>, x )
-;Triangular[ <Lower Bound min>, <Upper Bound max>, <Mode mod>, x ]
+:Creates cumulative density function of [[w:Triangular distribution|triangular distribution]] with parameters ''lower Bound, upper Bound, Mode''.
-:Creates probability density function (pdf) of [[w:Triangular distribution|triangular distribution]] with parameters ''min, max, mod''.
+;Triangular(  <Lower Bound>, <Upper Bound>, <Mode>, x, <Boolean Cumulative> )
-;triangularDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, 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 density function of triangular distribution, otherwise creates pdf 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''.
-; 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==
+:{{example|1=<code><nowiki>Triangular(0, 5, 2, 2)</nowiki></code> yields ''0.4''.}}
-In [[CAS View]] only following syntax is supported:
-;triangularDistribution[<Number α>, <Number β>, <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''.

Difference between revisions of "Triangular Command"

Latest revision as of 11:20, 30 July 2019

Triangular

Command Categories (All commands)