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.
Assistant to Calculate the Binomial Distribution
In the Statistics- application, the assistant to calculate the Binomial
Distribution is located by pressing:
[
F5
]
(
DIST
)
[
F5
]
(
BINM
)
(
DIST, engl. Distribution- Distribution
)
The command Bpd is calculated, P
(
X
)
, Bcd is calculated,
P
(
0
)
+P
(
1
)
+...+P
(
X
)
Note: Normal Distribution is located with
[
F5
]
(
DIST
)
[
F1
]
(
NORM
)
Proposed Solution for a
X=5
(
number of successes
)
’ N=30
(
number of trials
)
p=1/6
(
Probability of success
)
The command Bpd is selected with
[
F1
]
and values are entered.
Each entry is confirmed with
[
EXE
]
and the calculation is performed.
Note: The number of successes can be selected from the
function keys as a Variable or a List. The result can be saved under,
“Save Res”
(
save results
)
in a list.
Pressing
[
EXE
]
will direct one back to the Entry window, and
by pressing
[
EXE
]
[
EXE
]
one will return to the List editor of the
Statistics application.
Alternative Solution proposed in the RUN-MAT application
The direct entry and calculation in the RUN-MAT application is also
available:
[
OPTN
]
[
F5
]
(
STAT
)
[
F3
]
(
DIST
)
[
F5
]
(
BINM
)
[
F1
]
(
Bpd
)
Near the Binomial Distribution, lies the instructions for the Normal
Distribution, as well as geometrics and hypergeometric equations
that are available.
Binomial Distribution
• Binomial Distribution instructions in the
Statistics application:
[
F5
]
(
DIST
)
[
F5
]
(
BINM
)
• Bpd calculation P
(
X
)
• Bcd calculation of the summed probabilities
P
(
0
)
+P
(
1
)
+...+P
(
X
)
• RUN-MAT application:
[
OPTN
]
[
F5
]
[
F3
]
(
DIST
)
[
F5
]
(
BINM
)
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