In 1898, Ladislaus von Bortkiewicz published The Law of Small Numbers, in which he demonstrated the power
Question:
Number of Number of Times x
Deaths, x Deaths Were Observed
0.....................................................................109
1.......................................................................65
2.......................................................................22
3........................................................................3
4........................................................................1
(a) Compute the proportion of years in which there were 0 deaths, 1 death, 2 deaths, 3 deaths, and 4 deaths.
(b) From the data in the table, what was the mean number of deaths per year?
(c) Use the mean number of deaths per year found in part (b) and the Poisson probability law to determine the theoretical proportion of years that 0 deaths should occur. Repeat this for 1, 2, 3, and 4 deaths.
(d) Compare the observed proportions to the theoretical proportions. Do you think the data can be modeled by the Poisson probability law?
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Related Book For
Statistics Informed Decisions Using Data
ISBN: 9780134133539
5th Edition
Authors: Michael Sullivan III
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