MATH125: Unit 4 Individual Project Counting Techniques and Introduction to Probability State Alaska Arizona Arkansas California Colorado Connecticut Delaware District of Columbia Georgia Hawaii Idaho Illinois3 Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Total murders1 Total firearms Handgun s Rifles Shotgun s Firearms (type unknown) Knives or cutting instruments Other weapons 29 339 153 1,790 147 128 41 108 16 222 110 1,220 73 94 28 77 5 165 52 866 39 54 18 37 0 14 4 45 3 1 0 0 3 9 6 50 5 1 3 1 8 34 48 259 26 38 7 39 6 49 22 261 22 18 8 21 5 59 17 208 31 10 2 9 Hands, fists, feet, etc.2 2 9 4 101 21 6 3 1 522 7 32 452 284 44 110 150 485 25 398 183 613 70 187 364 18 65 129 16 370 1 17 377 183 19 73 100 402 12 272 122 450 43 138 276 7 42 75 6 326 0 15 364 115 7 31 77 372 3 262 52 267 36 121 158 2 35 46 1 16 1 1 1 9 0 3 6 10 1 2 0 29 3 6 13 3 2 2 2 16 0 0 5 12 2 5 5 8 1 5 1 15 3 4 9 1 1 1 1 12 0 1 7 47 10 34 12 12 7 3 69 139 1 7 96 1 4 26 2 61 2 4 29 36 10 11 13 28 4 75 30 43 12 26 28 4 7 20 4 83 1 8 29 43 10 16 24 29 7 34 22 89 12 14 42 5 9 25 6 8 3 3 17 22 5 10 13 26 2 17 9 31 3 9 18 2 7 9 0 379 121 774 489 12 488 204 77 636 14 319 15 373 1,089 51 269 60 445 335 6 344 131 40 470 5 223 5 244 699 26 238 45 394 235 3 187 99 13 379 1 126 3 172 497 15 1 2 5 26 0 8 8 1 8 0 10 1 7 37 4 5 2 16 19 0 13 9 2 19 0 12 0 13 48 1 25 11 30 55 3 136 15 24 64 4 75 1 52 117 6 51 21 160 60 4 44 26 22 73 5 38 4 51 175 5 41 32 143 57 0 80 21 10 66 4 40 3 62 134 9 18 8 26 37 2 20 26 5 27 0 18 3 16 81 11 Vermont Virginia Washington West Virginia Wisconsin Wyoming Virgin Islands 8 303 161 74 135 15 38 4 208 79 43 80 11 31 2 110 58 23 60 7 27 0 10 1 10 7 0 0 0 15 3 3 3 0 0 2 73 17 7 10 4 4 2 33 29 11 21 0 5 2 41 36 13 13 1 2 0 21 17 7 21 3 0 1 Total number of murders for which supplemental homicide data were received. Pushed is included in hands, fists, feet, etc. 3 Limited supplemental homicide data were received. 2 Be sure to show ALL of your work details. Submit your ANSWER FORM in the Unit 4 IP Submissions area. 1. In how many ways can 5 states be selected from the top 10 states with the most murders if the order of the 5 states matters? In how many ways can 5 states be selected from the top 10 states with the most murders if the order of the 5 states does not matter? 2. What would be the probability that randomly choosing 3 states from the top 6 murder states would actually be the top 3 states for murders in the exact correct decreasing order (1. CA, 2. TX, 3. NY)? 3. From the table above, find the top 20 states with the most number of total murders. Then, calculate the mean, median, and mode. 4. Calculate the variance and the standard deviation of the top 20 states with the most number of total murders. 5. In Texas, given that a specific person was murdered by a firearm, what is the probability that the murder was committed with a rifle? 6. In California, 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? 7. Choose 2 states, and determine how many more times likely a person is to be murdered using a handgun in one state compared to the other state if the person is murdered. 8. For what reasons do you think California and Texas seemingly had a disproportionate number of murders than New York and Pennsylvania in 2011? Please do your research and include the references that support your answer. Reference Federal Bureau of Investigation. (2011). Table 20: Murder. Retrieved from http://www.fbi.gov/about-us/cjis/ucr/crime-inthe-u.s/2011/crime-in-the-u.s.-2011/tables/table-20