Difference between revisions of "TDistribution Command"

From GeoGebra Manual
Jump to: navigation, search
(Autogenerated from properties)
(pdf -> cdf)
 
(13 intermediate revisions by 6 users not shown)
Line 1: Line 1:
+
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}}
<noinclude>{{Manual Page|version=4.0}}<noinclude/>
+
;TDistribution( <Degrees of Freedom>, x )
{{command|probability}}
+
:Creates cumulative density function (cdf) of [[w:Student's t-distribution|t-distribution]] with given degrees of freedom.
;TDistribution[ <Degrees of Freedom>, <Variable Value> ]
+
;TDistribution( <Degrees of Freedom>, x, <Boolean Cumulative> )
:{{description}}
+
:If ''Cumulative'' is true, creates cumulative distribution function of t-distribution, otherwise creates pdf of t-distribution.
 +
; TDistribution( <Degrees of Freedom>, <Variable Value> )
 +
: Calculates the value of cumulative distribution function of t-distribution at ''variable value v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with t-distribution with given degrees of freedom.
 +
:{{example|1=<code><nowiki>TDistribution(10, 0)</nowiki></code> yields ''0.5''.}}
 +
:{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the t-distribution curve to the left of the given ''x''-coordinate).}}
 +
==CAS Syntax==
 +
;TDistribution( <Degrees of Freedom>, <Variable Value> )
 +
:Calculates the value of cumulative distribution function of t-distribution at ''variable value v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with t-distribution with given degrees of freedom.
 +
:{{example|1=<code><nowiki>TDistribution(10, 0)</nowiki></code> yields ''0.5''.}}

Latest revision as of 10:19, 30 July 2019


TDistribution( <Degrees of Freedom>, x )
Creates cumulative density function (cdf) of t-distribution with given degrees of freedom.
TDistribution( <Degrees of Freedom>, x, <Boolean Cumulative> )
If Cumulative is true, creates cumulative distribution function of t-distribution, otherwise creates pdf of t-distribution.
TDistribution( <Degrees of Freedom>, <Variable Value> )
Calculates the value of cumulative distribution function of t-distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with t-distribution with given degrees of freedom.
Example: TDistribution(10, 0) yields 0.5.
Note: Returns the probability for a given x-coordinate's value (or area under the t-distribution curve to the left of the given x-coordinate).

CAS Syntax

TDistribution( <Degrees of Freedom>, <Variable Value> )
Calculates the value of cumulative distribution function of t-distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with t-distribution with given degrees of freedom.
Example: TDistribution(10, 0) yields 0.5.
© 2024 International GeoGebra Institute