Difference between revisions of "Triangular Command"
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|probability}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{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 '' | + | :Creates probability density function of [[w:Triangular distribution|triangular distribution]] with parameters ''lower Bound, upper Bound, Mode''. |
;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 '' | + | ; 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).}} | ||
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:{{example|1=<div><code><nowiki>Triangular[ 0, 5, 2, 2 ]</nowiki></code> yields ''0.4''.</div>}} | :{{example|1=<div><code><nowiki>Triangular[ 0, 5, 2, 2 ]</nowiki></code> yields ''0.4''.</div>}} | ||
Revision as of 09:51, 21 September 2015
- Triangular[ <Lower Bound>, <Upper Bound>, <Mode>, x ]
- Creates probability 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.
