In the 19th century, cavalries were still an impoct- 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 faal-

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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: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
their cavalry regiments over a 20-year time span.
If these fatalities occurred independently and
with equal probability for cach 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 regiiment-year (Bort-
kiewicz 1898).
Number of
deaths (X)
Number of
regiment-years
109
65
22
1.
24
Total
200
a. What is the mean number of deaths from
horse kicks per regiment-year?
b. Test whether a Poisson disuibution fits these
data.
012
Transcribed Image Text:their cavalry regiments over a 20-year time span. If these fatalities occurred independently and with equal probability for cach 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 regiiment-year (Bort- kiewicz 1898). Number of deaths (X) Number of regiment-years 109 65 22 1. 24 Total 200 a. What is the mean number of deaths from horse kicks per regiment-year? b. Test whether a Poisson disuibution fits these data. 012
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