(a) Data was collected over a period of 10 years showing number of deaths from horse kicks in each of the 200 army corps. The distribution of deaths was as follows : No. of deaths : $\begin{array}{lllll}0 & 1 & 2 & 3 & 4 \\ \text { Total }\end{array}$ Frequency : 109652231200 Fit a Poisson distribution to the data and calculate the theoretical frequencies.
Explanation
The Poisson distribution is a discrete probability distribution that is commonly used to model the number of events occurring in a fixed interval of time or space. It is characterized by a single parameter, λ, which is the mean of the distribution.
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