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Statistics Question In the 19th century the Prussian military became concerned about the number of its cavalry officers killed by horse kick during peacetime. The

Statistics Question

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In the 19th century the Prussian military became concerned about the number of its cavalry officers killed by horse kick during peacetime. The Prussians had the foresight to collect hard data over 20 years on death by horse kick. It would have been easy to blame these deaths on what are described as "never events", which are adverse, serious and largely preventable events e.g. blaming the victims for being careless, horses for being vicious or poor leadership and systems. Instead, the Mathematician Ladislaus Bortkiewicz analyzed the data. In his book "The Law of Small Numbers" (1908) he showed that these fatalities were rare events (low frequency) in a large population and closely followed a Poisson distribution. From historical data on 120 cavalry corps (a corps is a group of military personnel), MJ has estimated that the average death rate in the Prussian military over 20 years was 1.03 deaths per corps. Determine the probability that over this time a corps had: a) No deaths. b) Some deaths. c) 2 deaths

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