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their cavalry regiments over a 20-year time span. If these fatalities occurred independently and with equal probability for each regiment, then the number of deaths by horse kick per regiment per year should follow a Poisson distribution. On the other hand, if some regiments during some years consisted of particularly bad horsemen," then the events would not occur with equal probability. in which case we would expect a frequency dis- tribution different from the Poisson distribution. The following table shows the data, expressed as the number of fatalities per regiment-year (Bort- kiewicz 1898). Number of deaths (X) Number of regiment-years 109 65 22 3 3. 4. >4 Total 200 a. What is the mean number of deaths from horse kicks per regiment-year? b. Test whether a Poisson distribution fits these data.

their cavalry regiments over a 20-year time span. If these fatalities occurred independently and with equal probability for each regiment, then the number of deaths by horse kick per regiment per year should follow a Poisson distribution. On the other hand, if some regiments during some years consisted of particularly bad horsemen," then the events would not occur with equal probability. in which case we would expect a frequency dis- tribution different from the Poisson distribution. The following table shows the data, expressed as the number of fatalities per regiment-year (Bort- kiewicz 1898). Number of deaths (X) Number of regiment-years 109 65 22 3 3. 4. >4 Total 200 a. What is the mean number of deaths from horse kicks per regiment-year? b. Test whether a Poisson distribution fits these data.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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their cavalry regiments over a 20-year time span. If these fatalities occurred independently and with equal probability for each regiment, then the number of deaths by horse kick per regiment per year should follow a Pojsson distribution. On the other hand, if some regiments during some years consisted of particularly bad horsemen," then the events would not occur with equal probability. in which case we would expect a frequency dis- tribution different from the Poisson distribution. The following table shows the data, expressed as the number of fatalities per regiment-year (Bort- kiewicz 1898). Number of deaths (X) Number of regiment-years 109 1 65 22 3 4 >4 Total 200 a. What is the mean number of deaths from horse kicks per regiment-year? b. Test whether a Poisson distribution fits these data.
Transcribed Image Text:their cavalry regiments over a 20-year time span. If these fatalities occurred independently and with equal probability for each regiment, then the number of deaths by horse kick per regiment per year should follow a Pojsson distribution. On the other hand, if some regiments during some years consisted of particularly bad horsemen," then the events would not occur with equal probability. in which case we would expect a frequency dis- tribution different from the Poisson distribution. The following table shows the data, expressed as the number of fatalities per regiment-year (Bort- kiewicz 1898). Number of deaths (X) Number of regiment-years 109 1 65 22 3 4 >4 Total 200 a. What is the mean number of deaths from horse kicks per regiment-year? b. Test whether a Poisson distribution fits these data.
15. In the 19th century, cavalries were still an import- ant part of the European military complex. While horses have many wonderful qualities, they can be dangerous beasts, especially if poorly treated. The Prussian army kept track of the number of fatal- ities caused by horse kicks to members of 10 of
Transcribed Image Text:15. In the 19th century, cavalries were still an import- ant part of the European military complex. While horses have many wonderful qualities, they can be dangerous beasts, especially if poorly treated. The Prussian army kept track of the number of fatal- ities caused by horse kicks to members of 10 of
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