TDistribution Command

TDistribution( <Degrees of Freedom>, <Variable Value> ): Evaluates the cumulative distribution function of a t-distribution at variable value v, i.e. calculates the probability P(X ≤ v) where X is a random variable with a t-distribution with the given degrees of freedom.

TDistribution(10, 0) yields 0.5.

This syntax returns the probability at a given value, that is the area under the t-distribution curve to the left of the given x-coordinate.

TDistribution( <Degrees of Freedom>, <Variable Value>, <Boolean Cumulative> ): If Cumulative = true, evaluates the cumulative distribution function of a t-distribution with given degrees of freedom at the given variable value, otherwise it evaluates the probability density function of the distribution at variable value.
TDistribution( <Degrees of Freedom>, x, <Boolean Cumulative> ): If Cumulative = true, creates the cumulative density function (cdf) of a t-distribution with given degrees of freedom, otherwise it creates the probability density function (pdf) of the distribution.

CAS Syntax

TDistribution( <Degrees of Freedom>, <Variable Value> ): Evaluates the cumulative distribution function of a t-distribution at variable value v, i.e. calculates the probability P(X ≤ v) where X is a random variable with a t-distribution with the given degrees of freedom.

TDistribution(10, 0) yields 0.5.