38
Binomial Distribution
Example:
Simulation of a cube experiment
Calculate the probability that at the 30th dice roll:
a) 5-times
b) x-times
a 6 is rolled.
Proposed Solution for b)
x={1,2,...30} (Number of rolls);
N=30 (Number of trials)’
p=1/6 (probability of success)
The list of number of rolls is hit with the seq-command (follow
Command) to create a list in List 1. From there the cursor is on
“List 1” and then enter the result:
[OPTN] [F1]
(LIST)
[F5]
(Seq)
Syntax:
Seq
(Formula, Variable, Start value, End value, range)
Select the command Bpd with
[F5]
(DIST)
[F5]
(BINM)
[F1]
(before you return with
[EXIT]
) and enter the values.
Confirm the input with
[EXE]
. Store the results under “Save Res”,
e.g. indicate List2. Run the calculation with
[EXE]
Return to the Statistics window with
[EXIT] [EXIT]
Graphical Representation
The results can be observed graphically, e.g. as xy-Polygon is shown
(vgl. S.30)
Note:
The Binomial Distribution can also be shown in the Graphics-
application.
Binomial Distribution
•
Binomial Distribution Command in the Statistics application:
[F5]
(DIST)
[F5]
(BINM)
•
Bcd calculated the summed probabilities
P(0) + P(1)+...+P(x)
Summary of Contents for FX-CG20
Page 1: ...1 User Guide for the operations of the Fx Cg20 Graphic Calculator...
Page 48: ...48 Notes...
Page 49: ...49 Notes...
Page 52: ...www casio co uk education...