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

The Chi-square distribution

The Chi-square (χ 2) distribution has one parameter ν , known as the degrees of freedom. The calculator provides for values of the upper-tail (cumulative) distribution function for the χ 2-distribution using [UTPC] given the value of x and the parameter ν . The definition of this function is, therefore, UTPC(ν ,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 ν N = numerator degrees of freedom, and ν 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 ν N and ν D, and the value of F. The definition of this function is, therefore, UTPF(ν N,ν D,F) = P(ℑ >F) = 1 - P(ℑ <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.

Page 15-4