Floating Point Modes - 3: Real Statistical Calculations - HP RPN SCIENTIFIC WP 34S Owner's Manual

Floating Point Modes – 3: Real Statistical Calculations
Besides the basic functions
embedded in your WP 34S, going far beyond the Gaussian distribution. They are all
concentrated in the light green frame shown in the picture. Many preprogrammed
operations are implemented in your WP 34S for the first time ever in an RPN calculator –
we packed-in everything we always had missed.
The labels below
and following to the
right cover sample
statistics. The
labels at left deal with
general probability.
  
, , and
x!
stand for , COMB,
and PERM as intro-
duced above.
The shifted functions of
Φ
 
inverse , as well as the catalog
and three discrete ones. All these functions have a few features in common:
 Discrete statistical distributions (like Poisson and Binomial) are confined to integers.
Whenever your WP 34S sums up a probability mass function (pmf
cumulated distribution function (cdf)
 Whenever your WP 34S integrates a function, it starts at the left end of the integration
interval. Thus, integrating a continuous probability density function (pdf)
cdf typically works as
34
In a nutshell, discrete statistical distributions deal with "events" governed by a known mathematical model.
The pmf then tells the probability to observe a certain number of such events, e.g. 7. And the cdf gives the
probability to observe up to 7 such events, but not more.
For doing statistics with continuous statistical variables – e.g. the heights of three-year-old toddlers –
similar rules apply: Assume we know the applicable mathematical model. Then the respective cdf gives the
probability for their heights being less than an arbitrary limit value, for example less than 1
corresponding pdf tells how these heights are distributed in a sample of let's say 1000 children of this age.
BEWARE: This is a very rudimentary sketch of this topic only – turn to good textbooks about statistics
to learn dealing with it properly.
The terms pmf and pdf translate to German „Dichtefunktion" or „Wahrscheinlichkeitsdichte", cdf to
„Verteilungsfunktion" or „Wahrscheinlichkeitsverteilung".
WP 34S Owner's Manual

and

five

cover statistical distributions: standard normal
F ( m
F ( x )

, you will find a lot of statistical commands

covering nine more continuous distributions
it starts at
m
 

 
) p ( n ) P m
0
n
x
   

 
 
f d P x
 
Edition 3.1
34
)
. Thus,
.
.
Φ
 
and its
to get a
to get a
m
. And the
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