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 Massachuse tts Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvani Total murder s1 Total firearm s Handgu ns Rifle s Shotgu ns Knives or cutting instrumen ts Other weapon s 3 9 6 50 5 1 3 1 Firearm s (type unknow n) 8 34 48 259 26 38 7 39 6 49 22 261 22 18 8 21 5 59 17 208 31 10 2 9 Hand s, fists, feet, etc.2 2 9 4 101 21 6 3 1 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 0 522 7 32 452 284 44 110 150 485 25 398 183 370 1 17 377 183 19 73 100 402 12 272 122 326 0 15 364 115 7 31 77 372 3 262 52 16 1 1 1 9 0 3 6 10 1 2 0 16 0 0 5 12 2 5 5 8 1 5 1 12 0 1 7 47 10 34 12 12 7 3 69 61 2 4 29 36 10 11 13 28 4 75 30 83 1 8 29 43 10 16 24 29 7 34 22 8 3 3 17 22 5 10 13 26 2 17 9 613 70 187 364 18 65 129 16 450 43 138 276 7 42 75 6 267 36 121 158 2 35 46 1 29 3 6 13 3 2 2 2 15 3 4 9 1 1 1 1 139 1 7 96 1 4 26 2 43 12 26 28 4 7 20 4 89 12 14 42 5 9 25 6 31 3 9 18 2 7 9 0 379 121 774 489 269 60 445 335 238 45 394 235 1 2 5 26 5 2 16 19 25 11 30 55 51 21 160 60 41 32 143 57 18 8 26 37 12 6 3 0 0 3 4 0 2 488 204 77 636 344 131 40 470 187 99 13 379 8 8 1 8 13 9 2 19 136 15 24 64 44 26 22 73 80 21 10 66 20 26 5 27 a Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia Washington West Virginia Wisconsin Wyoming Virgin Islands 14 5 1 0 0 4 5 4 0 319 223 126 10 12 75 38 40 18 15 5 3 1 0 1 4 3 3 373 1,089 51 8 303 161 74 244 699 26 4 208 79 43 172 497 15 2 110 58 23 7 37 4 0 10 1 10 13 48 1 0 15 3 3 52 117 6 2 73 17 7 51 175 5 2 33 29 11 62 134 9 2 41 36 13 16 81 11 0 21 17 7 135 15 38 80 11 31 60 7 27 7 0 0 3 0 0 10 4 4 21 0 5 13 1 2 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 (FBI, 2011) The table above for murders by weapon types is from the FBI's Criminal Justice Services Division and represents the reported murders in each state for the year 2011. (Please see http://www.fbi.gov/aboutus/cjis/ucr/crime-in-the-u.s/2011/crime-in-the-u.s.-2011/tables/table-20 for the referenced table.) Be sure to show ALL of your work details. Submit your answers in a Word document in the Unit 4 IP Submissions area. 1. How many ways are there for choosing 5 states from the top 10 states with the most murders if order is considered? What about if order is not considered? 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 United States in exact correct decreasing order (1. CA, 2. TX, 3. NY)? 3. Calculate the mean, median, and mode for the total murders in the top 20 states. 4. Calculate the standard deviation and variance for the total murders in the top 20 states. 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 much more likely a person is to be murdered using a handgun in one state than the other 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? Reference Federal Bureau of Investigation. (2011). Table 20: Murder. Retrieved from http://www.fbi.gov/aboutus/cjis/ucr/crime-in-the-u.s/2011/crime-in-the-u.s.-2011/tables/MATH125: Unit 4 Individual Project Counting Techniques and Introduction to Probability State Total murders1 Total firearms Handguns (type unknown) Knives or cutting instruments Other weapons Hands, fists, feet, etc.2 Alaska 29 16 5 Arizona 339 222 Arkansas 153 110 California 1,790 1,220 Colorado 147 73 Connecticut 128 94 Delaware 41 28 District of Columbia 108 Georgia 522 370 Hawaii 7 1 0 Idaho 32 17 15 Illinois3 452 377 Indiana 284 183 Iowa 44 19 7 Kansas 110 73 Kentucky 150 100 Louisiana 485 402 Maine 25 12 3 Maryland 398 272 Massachusetts 183 Michigan 613 450 Minnesota 70 43 Mississippi 187 138 Missouri 364 276 Montana 18 7 Nebraska 65 42 Nevada 129 75 New Hampshire 16 New Jersey 379 269 New Mexico 121 60 New York 774 445 North Carolina 489 335 North Dakota 12 6 Rifles Shotguns Firearms 0 165 52 866 39 54 18 77 326 1 1 364 115 0 31 77 372 1 262 122 267 36 121 158 2 35 46 6 238 45 394 235 3 6 34 48 259 26 38 7 1 12 2 4 7 47 10 34 12 12 4 3 1 139 1 7 96 1 4 26 1 25 11 30 55 3 3 14 4 45 3 1 0 37 16 0 0 1 9 2 3 6 10 1 2 52 29 3 6 13 3 2 2 1 1 2 5 26 0 8 9 6 50 5 1 3 0 16 0 1 5 12 10 5 5 8 7 5 0 15 3 4 9 1 1 1 2 5 2 16 19 0 5 49 22 261 22 18 8 39 61 1 8 29 36 10 11 13 28 7 75 69 43 12 26 28 4 7 20 2 51 21 160 60 4 2 59 17 208 31 10 2 21 83 3 3 29 43 5 16 24 29 2 34 30 89 12 14 42 5 9 25 4 41 32 143 57 0 9 4 101 21 6 3 9 8 1 17 22 10 13 26 17 22 31 3 9 18 2 7 9 6 18 8 26 37 2 9 0 Ohio 488 344 Oklahoma 204 Oregon 77 Pennsylvania 636 Rhode Island 14 South Carolina South Dakota 15 Tennessee 373 Texas 1,089 699 Utah 51 26 Vermont 8 Virginia 303 Washington 161 West Virginia 74 Wisconsin 135 Wyoming 15 Virgin Islands 38 187 131 40 470 5 319 5 244 497 15 4 208 79 43 80 11 31 8 99 13 379 1 223 3 172 37 4 2 110 58 23 60 7 27 13 8 1 8 0 126 1 7 48 1 0 10 1 10 7 0 0 136 9 2 19 0 10 0 13 117 6 0 15 3 3 3 0 0 44 15 24 64 4 12 1 52 175 5 2 73 17 7 10 4 4 80 26 22 73 5 75 4 51 134 9 2 33 29 11 21 0 5 20 21 10 66 4 38 3 62 81 11 2 41 36 13 13 1 2 26 5 27 0 40 3 16 18 0 21 17 7 21 3 0 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. (FBI, 2011) The table above for murders by weapon types is from the FBI's Criminal Justice Services Division and represents the reported murders in each state for the year 2011. (Please see http://www.fbi.gov/about-us/cjis/ucr/crime-in-the-u.s/2011/crime-in-the-u.s.-2011/tables/table-20 for the referenced table.) Be sure to show ALL of your work details. Submit your answers in a Word document in the Unit 4 IP Submissions area. 1. How many ways are there for choosing 5 states from the top 10 states with the most murders if order is considered? What about if order is not considered? 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 United States in exact correct decreasing order (1. CA, 2. TX, 3. NY)? 3. Calculate the mean, median, and mode for the total murders in the top 20 states. 4. Calculate the standard deviation and variance for the total murders in the top 20 states. 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 much more likely a person is to be murdered using a handgun in one state than the other 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? Reference Federal Bureau of Investigation. (2011). Table 20: Murder. Retrieved from http://www.fbi.gov/aboutus/cjis/ucr/crime-in-the-u.s/2011/crime-in-the-u.s.-2011/tables