ChiSquared Command

ChiSquared[ <Degrees of Freedom d>, x ]

Creates probability density function (pdf) of Chi squared distribution with d degrees of freedom.

ChiSquared[ <Degrees of Freedom>, x, <Boolean Cumulative> ]

If Cumulative is true, creates cumulative distribution function of Chi squared distribution, otherwise creates pdf of Chi squared distribution.

ChiSquared[ <Degrees of Freedom d>, <Variable Value v> ]

Calculates the value of cumulative distribution function of Chi squared distribution at v, i.e. the probability P(X≤v) where X is a random variable with Chi squared distribution with d degrees of freedom.

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

CAS Syntaxes

In CAS View only following syntax is supported:

ChiSquared[<Degrees of Freedom d>, <Variable Value v>]

Calculates the value of cumulative distribution function (cdf) of Chi squared distribution at v, i.e. the probability P(X≤v) where X is a random variable with Chi squared distribution with d degrees of freedom.

Example:

ChiSquared[4, 3] gives \gamma(2, \frac{3}{2}), which is approximately 0.44.