Table 1.3 contains Ladislaus von Bortkiewicz€™s data on deaths of soldiers in the Prussian army from kicks by army mules (Fisher 1934; Quine and Seneta 1987). The data refer to 10 army corps, each observed for 20 years. In 109 corps-years of exposure, there were no deaths, in 65 corps-years there was one death, and so on. Estimate the mean and test whether probabilities of occurrences in these five categories follow a Poisson distribution (truncated for 4 and above.)

Table 1.3:

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Number of Number of Deaths Corps-Years 109 1 65 2 22 3 3 4