# The Chi-square Distribution; The F Distribution; Reference - HP 50g User Manual

Graphing calculator.

## The Chi-square distribution

2
The Chi-square (
) distribution has one parameter
, known as the
degrees of freedom. The calculator provides for values of the upper-tail
2
(cumulative) distribution function for the
-distribution using UTPC given
the value of x and the parameter . The definition of this function is,
therefore, UTPC( ,x) = P(X>x) = 1 - P(X<x). For example, UTPC(5, 2.5) =
0.776495...

### The F distribution

The F distribution has two parameters N = numerator degrees of freedom,
and D = denominator degrees of freedom. The calculator provides for
values of the upper-tail (cumulative) distribution function for the F
distribution, function UTPF, given the parameters N and D, and the value
of F. The definition of this function is, therefore, UTPF( N, D,F) = P( >F) =
1 - P( <F). For example, to calculate UTPF(10,5, 2.5) = 0.1618347...

### Reference

For additional probability distributions and probability applications, refer
to Chapter 17 in the calculator's user's guide.
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