| Property | Value |
|---|---|
| Hex Value | $BB1D |
| Categories | |
| Localizations |
|
χ²pdf(
Overview
Computes the probability density function (pdf) for the χ² distribution at a specified x value for the specified degrees of freedom df.
Availability: Token available everywhere.
Syntax
χ²pdf(x,df)
Arguments
| Name | Type | Optional |
|---|---|---|
| χ² | ||
| x | ||
| df |
Location
2nd, distr, DISTR, 7:pdf(
Description
χ²pdf( is the χ² probability density function.
Since the χ² distribution is continuous, the value of χ²pdf( doesn't represent an actual probability — in fact, one of the only uses for this command is to draw a graph of the χ² curve. You could also use it for various calculus purposes, such as finding inflection points.
The command takes two arguments: the value at which to evaluate the p.d.f., and df, the number of 'degrees of freedom'.
Formulas
The value of χ²pdf( is given by
(1) \(\begin{align} \texttt{\chi^2pdf}(x,k)=\frac{(1/2)^{k/2}}{(k/2-1)!}\,x^{k/2-1}e^{-x/2} \end{align}\)
Related Commands
Source: parts of this page were written by the following TI|BD contributors: burr, DarkerLine, GoVegan, kg583.
History
| Calculator | OS Version | Description |
|---|---|---|
| TI-83 | 0.01013 | Added |
Created: February 23, 2023 23:15:01