Difference between revisions of "Triangular Command"
From GeoGebra Manual
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; 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).}} | ||
| − | ==CAS | + | ==CAS Syntax== |
| − | |||
;Triangular[ <Lower Bound min>, <Upper Bound max>, <Mode mod>, <Variable Value v>] | ;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''. | :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''. | ||
| + | :{{example|1=<div><code><nowiki>Triangular[ 0, 5, 2, 2]</nowiki></code> yields ''0.4''.</div>}} | ||
Revision as of 16:25, 18 December 2012
- 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 Syntax
- 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.
- Example:
Triangular[ 0, 5, 2, 2]yields 0.4.
