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Poison Distribution Table

This document contains two tables related to the Poisson distribution: 1) A table of individual Poisson probabilities that shows the probability of observing x occurrences for different values of the mean rate parameter m. 2) A table of cumulative Poisson probabilities that shows the probability of observing x or fewer occurrences for different values of the mean rate parameter m. Both tables relate the number of observed occurrences x to the expected mean number of occurrences m and provide the corresponding probability values calculated from the Poisson distribution.

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Kibet Kiptoo
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666 views1 page

Poison Distribution Table

This document contains two tables related to the Poisson distribution: 1) A table of individual Poisson probabilities that shows the probability of observing x occurrences for different values of the mean rate parameter m. 2) A table of cumulative Poisson probabilities that shows the probability of observing x or fewer occurrences for different values of the mean rate parameter m. Both tables relate the number of observed occurrences x to the expected mean number of occurrences m and provide the corresponding probability values calculated from the Poisson distribution.

Uploaded by

Kibet Kiptoo
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Statistical and financial tables

Table V
a) Table of individual poisson probabilities

Number of occurrences (x)


o X2 t cut-offvalue Mean (m) 0 1 2 3 4 5 6
0.1 0.9048 0.0905 0.0045 0.0002 0.000 0.000 0.000
ce
0.2 0.8187 0.1637 0.0164 0.0011 0.0001 0.000 0.000
o
.0 0.3 0.7408 0.2222 0.0333 0.0033 0.0003 0.000 0.000
0.4 0.6703 0.2681 0.0536 0.0072 0.0007 0.0001 0.000
5 0.5 0.6065 0.3033 0.0758 0.0126 0.0016 0.0002 0.000
_10
0.6 0.5488 0.3293 0.0988 0.0198 0.0030 0.0004 0.000
3-15
0.7 0.4966 0.3476 0.1217 0.0284 0.0050 0.0007 0.0001
277 0.8 0.4493 0.3595 0.1438 0.0383 0.0077 0.0012 0.0002
6
0.9 0.4066 0.3659 0.1647 0.0494 0.0111 0.0020 0.0003
12 1.0 0.3679 0.3679 0.1839 0.0613 0.0153 0.0031 0.0005
-175
,090 Table shows probability of a given number of occurences for a given mean (m),
,666
.109
,:-25 b) Table of cumulative poisson probabilities
,117
-
,688 Number of occurrences (x)
.141 Mean (m) 0 1 2 3 4 5 6
578 0.1 0.9048 0.9953 0.9998 1.00 1.00 1.00 1.00
0.2 0.8187 0.9824 0.9988 0.9999 1.00 1.00 1.00
,999 1.00 1.00
0.3 0.7408 0.9630 0.9963 0.9996 0.9999
.-109
0.4 0.6703 0.9384 0.9920 0.9992 0.9999 1.00 1.00
.805 1.00 1.00
0.5 0.6065 0.9098 0.9856 0.9982 0.9998
.191 0.5488 1.00 1.00
0.6 0.8781 0.9769 0.9967 0.9997
.566 0.7 0.4966 1.00 1.00
0.8442 0.9659 0.9943 0.993
.932 0.8 0.4493 0.8088 0.9526 0.9909 0.9986 0.9998 1.00
.289 0.9 0.4066 0.7725 0.9372 0.9866 0.9977 0.9997 1.00
.638 1.0 0.3679 0.7358 0.9197 0.9810 0.9963 0.9994 0.9999
.979
.314 Table shows probability of finding x or fewer occurences for a given mean (m) .

515

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