Difference between revisions of "TDistribution Command"

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(command syntax: changed [ ] into ( ))
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}}
 
;TDistribution( <Degrees of Freedom>, x )
 
;TDistribution( <Degrees of Freedom>, x )
:Creates probability density function (pdf) of [[w:Student's t-distribution|t-distribution]] with given degrees of freedom.
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:Creates cumulative density function (cdf) of [[w:Student's t-distribution|t-distribution]] with given degrees of freedom.
 
;TDistribution( <Degrees of Freedom>, x, <Boolean Cumulative> )
 
;TDistribution( <Degrees of Freedom>, x, <Boolean Cumulative> )
 
:If ''Cumulative'' is true, creates cumulative distribution function of t-distribution, otherwise creates pdf of t-distribution.
 
:If ''Cumulative'' is true, creates cumulative distribution function of t-distribution, otherwise creates pdf of t-distribution.

Latest revision as of 11:19, 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.
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