Download  Print this page

The Mth/prob Menu - Part 2; The Normal Distribution; The Student-t Distribution - HP 49g+ User Manual

Graphing calculator.
Hide thumbs


The MTH/PROB menu - part 2

In this section we discuss four continuous probability distributions that are
commonly used for problems related to statistical inference: the normal
distribution, the Student's t distribution, the Chi-square (
) distribution, and
the F-distribution. The functions provided by the calculator to evaluate
probabilities for these distributions are NDIST, UTPN, UTPT, UTPC, and UTPF.
These functions are contained in the MTH/PROBABILITY menu introduced
earlier in this chapter. To see these functions activate the MTH menu:
„ ´
and select the PROBABILITY option:

The Normal distribution

Functions NDIST and UTPN relate to the Normal distribution with mean
and variance
To calculate the value of probability density function, or pdf, of the f(x) for the
normal distribution, use function NDIST( ,
,x). For example, check that for a
normal distribution, NDIST(1.0,0.5,2.0) = 0.20755374. This function is
useful to plot the Normal distribution pdf).
The calculator also provides function UTPN that calculates the upper-tail
normal distribution, i.e., UTPN( , , x) = P(X>x) = 1 - P(X<x), where P()
represents a probability. For example, check that for a normal distribution,
= 1.0,
= 0.5, UTPN(1.0,0.5,0.75) = 0.638163.

The Student-t distribution

The Student-t, or simply, the t-, distribution has one parameter , known as the
degrees of freedom of the distribution. The calculator provides for values of
the upper-tail (cumulative) distribution function for the t-distribution, function
Page 15-3


Table of Contents

   Related Manuals for HP hp 49g+

Comments to this Manuals

Symbols: 0
Latest comments: