question archive There was a wonderful study conducted in 1898 by von Bortkiewicz, which provides data on the death of soldiers in the Prussian army from kicks by horses and mules
There was a wonderful study conducted in 1898 by von Bortkiewicz, which provides data on the death of soldiers in the Prussian army from kicks by horses and mules
Subject:MathPrice: Bought3
There was a wonderful study conducted in 1898 by von Bortkiewicz, which provides data on the death of soldiers in the Prussian army from kicks by horses and mules. The data pertain to 10 army corps, each observed over 20 years, for a total of 200 corps-years. The following table summarizes the observed data. Note that 109 corps-years had 0 deaths and 65 corps-years had 1 death, etc.
| Deaths | 0 | 1 | 2 | 3 | 4 | Total |
| Occurrences | 109 | 65 | 22 | 3 | 1 | 200 |
Von Bortkiewicz felt that a distribution known as the Poisson distribution would describe these data well. Using that distribution, he produced the following probabilities.
| Deaths | 0 | 1 | 2 | 3 | 4 | Total |
| Probabilities | 0.543 | 0.331 | 0.101 | 0.021 | 0.003 | 0.999 |
Under the null hypothesis that the observed cell counts follow the specified distribution, what is the expected number of corps-years in which one death occurred due to horse or mule kicks?
