FDistribution Command

FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, x ]

Creates probability density function (pdf) of F-distribution with parameters n, d.

FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, x, <Boolean Cumulative> ]

If Cumulative is true, creates cumulative distribution function of F-distribution, otherwise creates pdf of F-distribution.

FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, <Variable Value v> ]

Calculates the value of cumulative distribution function of F-distribution at v, i.e. the probability P(X≤v) where X is a random variable with F-distribution given by parameters n, d.

Note: Returns the probability for a given x-coordinate's value (or area under the F-distribution curve to the left of the given x-coordinate).

CAS Syntax

FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, <Variable Value v> ]

Calculates the value of cumulative distribution function of F-distribution at v, i.e. the probability P(X≤v) where X is a random variable with F-distribution given by parameters n, d.