TDistribution Command

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.