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MATH125: Unit 4 Submission Assignment Answer Form
Counting Techniques and Introduction to Probability
ALL questions below must be answered. Show ALL step-by-step calculations, round all your final answers correctly, and include the units of measurement. Upload this modified Answer Form to the Intellipath Unit 4 Submission lesson. Make sure you submit your work in a modified MS Word document; handwritten work will not be accepted. If you need assistance, please contact your course instructor.
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| (FBI, 2015) |
1 Total number of murders for which supplemental homicide data were received.
2 Pushed is included in hands, fists, feet, etc.
3 Limited supplemental homicide data were received.
1. In how many ways can six states be selected from the top 11 states with the most murders if the order of the six states matters? Round off your answer to the nearest whole number.
In how many ways can six states be selected from the top 11 states with the most murders if the order of the six states does not matter? Round your answer to the nearest whole number.
| Answers | |
| Oder is considered | |
| Order is not considered |
Show your work here: (11 points)
2. What would be the probability that randomly choosing four states from the top 7 murder states would actually be the top 4 states for murders in the United States in exact correct decreasing order?
(1. CA, 2. TX, 3. PA, 4. NY) Simplify all fraction answers.
| Answer | |
| Probability |
Show your work here: (11 points)
3. Find the top 22 states with the most number of total murders. Then, calculate the mean, median, and mode. Round off your answer to the nearest whole number.
| Rank | Top 20 States | Total Murders |
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| 5 | ||
| 6 | ||
| 7 | ||
| 8 | ||
| 9 | ||
| 10 | ||
| 11 | ||
| 12 | ||
| 13 | ||
| 14 | ||
| 15 | ||
| 16 | ||
| 17 | ||
| 18 | ||
| 19 | ||
| 20 | ||
| 21 | ||
| 22 |
| Answers | |
| Mean | |
| Median | |
| Mode |
Show your work here: (13 points)
4. Calculate the variance and standard deviation for the top 22 states with the most number of total murders. Round off your answer to the nearest whole number.
| Answers | |
| Variance | |
| Standard deviation |
Show your work here: (11 points)
5. In California, given that a specific person was murdered by a firearm, what was the probability that the murder was committed with a rifle? Simplify all fraction answers.
| Answer | |
| Probability |
Show your work here: (11 points)
6. In Texas, given that a specific person was murdered by a firearm, what is the probability that the murder was committed either with a rifle or a shotgun? Simplify all fraction answers.
| Answer | |
| Probability |
Show your work here: (11 points)
7. Choose 2 states, and determine how many more times likely a person is to be murdered using a rifle in one state compared to the other state if the person is murdered. Simplify all fraction answers.
| Chosen States | Probability |
Show your work here: (11 points)
| The number of times more likely (rounded to the nearest thousandths) |
8. For what reasons do you think California and Texas seemingly had a disproportionate number of murders than Pennsylvania and New York in 2015? Please do your research and include the references that support your answer.
Explain your answer here: (11 points)
Reference
Federal Bureau of Investigation (FBI). (2015). Table 20: Murder by states, types of weapons, 2015. Retrieved from https://ucr.fbi.gov/crime-in-the-u.s/2015/crime-in-the-u.s.-2015/tables/table-20
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