Reference – HP 49g+ User Manual

Page 157

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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(

>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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