Example 9.14 Fit a Poisson distribution to the following data, which relate to the number of deaths dueto the kick of a horse in 10 corps per army per annum over 20 yearsDeaths0Total (f)1423200Frequency109652231

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Answered: Example 9.14 Fit a Poisson distribution…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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This cumulative review problem uses material from Chapters 3, 5, and 10. Recall that the Poisson distribution deals with rare events. Death from the kick of a horse is a rare event, even in the Prussian army. The following data are a classic example of a Poisson application to rare events. The data represent the number of deaths from the kick of a horse per army corps per year for 10 Prussian army corps over a period of time. Let x represent the number of deaths and f the frequency of x deaths. x 0 1 2 3 or more f 111 61 24 4 (a) First, we fit the data to a Poisson distribution.The Poission distribution states P(x) = e−λλx x! , where λ ≈ x (sample mean of x values). From our study of weighted averages, we get the following. x = Σxf Σf Verify that x = 0.605. Hint: For the category 3 or more, use 3. x = (b) Now we have P(x) = e−0.605(0.605)x x! for x = 0, 1, 2, 3 . Find P(0), P(1), P(2), and P(3 ≤ x). Round to three places…
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Example 9.14 Fit a Poisson distribution to the following data, which relate to the number of deaths due to the kick of a horse in 10 corps per army per annum over 20 years Deaths 0 Total (f) 4 1 2 3 200 Frequency 109 65 22 3 1