Thunderstorms Observed Expected Freq. Severe thunderstorms have been recorded at a given station over a period of 66 years. During the period, the frequencies of severe thunderstorms observed are as indicated in the table. Number Freq. (O-E) 20 19.94 0.06 1 23 23.87 -0.87 2 15 14.29 0.71 3 8 7.9 -1.9 A Poisson distribution with mean annual occurrence of u = 1.197 with the indicated expected frequencies has been used to model the phenomenon. Use the x? test with a = 0.05 to test the goodness of the proposed model. Ans. *x? = 0.0684 < X30.05 = 7.81 Therefore the proposed Poisson model has a good fit. %3D
Thunderstorms Observed Expected Freq. Severe thunderstorms have been recorded at a given station over a period of 66 years. During the period, the frequencies of severe thunderstorms observed are as indicated in the table. Number Freq. (O-E) 20 19.94 0.06 1 23 23.87 -0.87 2 15 14.29 0.71 3 8 7.9 -1.9 A Poisson distribution with mean annual occurrence of u = 1.197 with the indicated expected frequencies has been used to model the phenomenon. Use the x? test with a = 0.05 to test the goodness of the proposed model. Ans. *x? = 0.0684 < X30.05 = 7.81 Therefore the proposed Poisson model has a good fit. %3D
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Problem 9.2-2
Severe thunderstorms have
Thunderstorms
Observed
Expected Freq.
Number
been recorded at a given
Freq.
(O-E)
station over a period of 66
years. During the period,
the frequencies of severe
20
19.94
0.06
1
23
23.87
-0.87
15
14.29
0.71
thunderstorms observed are
as indicated in the table.
8
7.9
-1.9
A Poisson distribution with mean annual occurrence of u = 1.197 with the indicated
expected frequencies has been used to model the phenomenon. Use the x? test
with a = 0.05 to test the goodness of the proposed model.
Ans.
*x? = 0.0684 <X30.05 = 7.81
Therefore, the proposed Poisson model has a good fit.
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