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Counting Techniques and Introduction to Probability State Total Murders1 Total Firearms Handguns Alabama 3 3 1 Shotguns Firearms (Type Unknown) Knives or Cutting Instruments Other Weapons Hands, Fists, Feet, and so on2 1 1 0 0 0 Alaska Arkansas Colorado Delaware Georgia Idaho Indiana Kansas Louisiana Rifles 0 57 39 12 2 4 1641105110 34 1 24 7 8 3 44518306 Arizona 278 171 128 3 36 42 55 10 California 1,861 1,275 855 33 353 263 233 90 1761156512632251917 0 63 52 26 0 0 26 6 3 2 1 56546439416104438603 Connecticut 107 73 29 2 42 16 9 9 District of Columbia 162 121 65 0 55 28 8 5 Hawaii 19 4 1 0 2 6 2 7 1 302417 4 2 272 209 147 9 0 125 91 51 4 1 0 3330 5 48222912 4 3291411 Illinois 497 440 431 1 6 29 25 3 Iowa 72 49 31 2 16 10 5 8 Kentucky 209 141 91 9 40 30 26 12 474 379 207 7 915646436 0 Maine 23 16 15 0 1 3 1 3 Maryland Michigan Mississippi Montana 372 279 571 389 159 126 36 18 266 3 3 7 1 148 10 10 221 6 102 3 5 16 12 13 0 0 5 1 17 1 1 94 0 200 3 0 52 1 331 1 5 46 10 5 0 0 4 12 113 8 9 19 1 386 10 11 90 0 201 7 10 94 1 204 13 7 73 19 26 2 0 6 4 148 6 7 114 3 19 1 1 9 5 4 0 3 3 44 33 16 52 103 27 11 14 8 8 3 7 25 30 9 38 41 19 104 104 20 3 1 4 33 32 19 65 67 22 34 34 14 40 51 14 5 6 9 51 43 14 6 17 4 2 3 1 Massachusetts 126 81 33 0 47 27 11 7 Minnesota 133 79 47 9 17 21 23 10 Missouri 499 418 233 11 162 26 40 15 Nebraska 61 43 41 1 0 9 8 1 Nevada New Jersey New York NorthDakota 17 9 177 113 353 255 611 383 New Hampshire 14 8 4 0 4 6 0 0 New Mexico 94 56 14 2 39 18 19 1 North Carolina 506 353 235 21 87 41 77 35 Ohio 480 316 184 7 113 39 103 22 Oklahoma Pennsylvania South Carolina Tennessee Utah Virginia 233 149 651 497 394 312 402 297 Oregon 71 34 17 5 11 12 22 3 Rhode Island 27 10 3 1 6 10 6 1 South Dakota 27 12 5 5 1 8 2 5 Texas 1,276 906 610 36 241 146 135 89 54 34 383 275 WestVirginia 57 30 Wyoming 16 10 Vermont 10 8 2 0 2 0 1 1 Washington 209 141 84 5 49 18 36 14 Wisconsin 238 170 122 4 39 37 25 6 Guam 6 3 1 0 2 1 2 0 0 U.S. Virgin Islands 35 26 12 1 0 13 3 6 0 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. 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. Answers Oder is considered Order is not considered Show your work here: 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: 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 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Top 20 States Total Murders Answers Mean Median Mode Show your work here: 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. Variance Standard deviation Show your work here: Answers 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: 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: 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: 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: 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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