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.

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The text discusses a statistical analysis of fatalities in cavalry regiments over a 20-year period. It hypothesizes that if the fatalities occur independently and with equal probability for each regiment, the deaths per regiment per year should follow a Poisson distribution. The data is presented to check this hypothesis. Below is the table illustrating the number of fatalities per regiment-year:

| Number of deaths (X) | Number of regiment-years |
|----------------------|--------------------------|
| 0                    | 109                      |
| 1                    | 65                       |
| 2                    | 22                       |
| 3                    | 3                        |
| 4                    | 1                        |
| >4                   | 0                        |
| **Total**            | **200**                  |

This table is sourced from Bortkiewicz, 1898.

**Tasks:**
a. Determine the mean number of deaths from horse kicks per regiment-year.

b. Evaluate whether a Poisson distribution appropriately fits the data presented.
Transcribed Image Text:The text discusses a statistical analysis of fatalities in cavalry regiments over a 20-year period. It hypothesizes that if the fatalities occur independently and with equal probability for each regiment, the deaths per regiment per year should follow a Poisson distribution. The data is presented to check this hypothesis. Below is the table illustrating the number of fatalities per regiment-year: | Number of deaths (X) | Number of regiment-years | |----------------------|--------------------------| | 0 | 109 | | 1 | 65 | | 2 | 22 | | 3 | 3 | | 4 | 1 | | >4 | 0 | | **Total** | **200** | This table is sourced from Bortkiewicz, 1898. **Tasks:** a. Determine the mean number of deaths from horse kicks per regiment-year. b. Evaluate whether a Poisson distribution appropriately fits the data presented.
**Text:**

15. In the 19th century, cavalries were still an important 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 fatalities caused by horse kicks to members of 10 of

**Explanation:**

The text discusses the role of cavalries in the 19th-century European military. It highlights the dual nature of horses as valuable yet potentially dangerous animals, particularly if not treated well. The Prussian army's efforts to monitor fatalities from horse kicks are mentioned, indicating a systematic approach to documenting such incidents for safety or analytical purposes.
Transcribed Image Text:**Text:** 15. In the 19th century, cavalries were still an important 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 fatalities caused by horse kicks to members of 10 of **Explanation:** The text discusses the role of cavalries in the 19th-century European military. It highlights the dual nature of horses as valuable yet potentially dangerous animals, particularly if not treated well. The Prussian army's efforts to monitor fatalities from horse kicks are mentioned, indicating a systematic approach to documenting such incidents for safety or analytical purposes.
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