Difference between revisions of "TDistribution Command"

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Revision as of 21:25, 9 March 2013



TDistribution[ <Degrees of Freedom d>, x ]
Creates probability density function (pdf) of t-distribution with d degrees of freedom.
TDistribution[ <Degrees of Freedom d>, x, <Boolean Cumulative> ]
If Cumulative is true, creates cumulative distribution function of t-distribution, otherwise creates pdf of t-distribution.
TDistribution[ <Degrees of Freedom d>, <Variable Value v> ]
Calculates the value of cumulative distribution function of t-distribution at v, i.e. the probability P(X≤v) where X is a random variable with t-distribution with d degrees of freedom.
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 d>, <Variable Value v>]
Calculates the value of cumulative distribution function of T-distribution at v, i.e. the probability P(X≤v) where X is a random variable with t-distribution with d degrees of freedom.
Example:
TDistribution[10, 0] yields 0.5.
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