The Chi-Square Distribution; The F Distribution; Reference - HP 49g+ User Manual

UTPT, given the parameter and the value of t, i.e., UTPT( ,t) = P(T>t) = 1-
P(T<t). For example, UTPT(5,2.5) = 2.7245...E-2.

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 (cumulative)
2
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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