Difference between revisions of "TDistribution Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}}
{{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.
 
:Creates probability density function (pdf) of [[w:Student's t-distribution|t-distribution]] with given degrees of freedom.

Revision as of 14:39, 9 September 2015


TDistribution[ <Degrees of Freedom>, x ]
Creates probability density function (pdf) 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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