Question

In: Statistics and Probability

Alabama 3 3 1 0 1 1 0 0 0Alaska 57 39 12 2 1...

Alabama 3 3 1 0 1 1 0 0 0
Alaska 57 39 12 2 1 24 7 8 3
Arizona 278 171 128 4 3 36 42 55 10
Arkansas 164 110 51 10 4 45 18 30 6
California 1,861 1,275 855 34 33 353 263 233 90
Colorado 176 115 65 12 6 32 25 19 17
Connecticut 107 73 29 0 2 42 16 9 9
Delaware 63 52 26 0 0 26 6 3 2
District of Columbia 162 121 65 1 0 55 28 8 5
Georgia 565 464 394 16 10 44 38 60 3
Hawaii 19 4 1 1 0 2 6 2 7
Idaho 30 24 17 4 0 3 3 3 0
Illinois 497 440 431 2 1 6 29 25 3
Indiana 272 209 147 9 5 48 22 29 12
Iowa 72 49 31 0 2 16 10 5 8
Kansas 125 91 51 4 4 32 9 14 11
Kentucky 209 141 91 1 9 40 30 26 12
Louisiana 474 379 207 7 9 156 46 43 6
Maine 23 16 15 0 0 1 3 1 3
Maryland 372 279 266 3 3 7 44 33 16
Massachusetts 126 81 33 1 0 47 27 11 7
Michigan 571 389 148 10 10 221 52 103 27
Minnesota 133 79 47 6 9 17 21 23 10
Mississippi 159 126 102 3 5 16 11 14 8
Missouri 499 418 233 12 11 162 26 40 15
Montana 36 18 13 0 0 5 8 3 7
Nebraska 61 43 41 1 1 0 9 8 1
Nevada 177 113 17 1 1 94 25 30 9
New Hampshire 14 8 4 0 0 4 6 0 0
New Jersey 353 255 200 3 0 52 38 41 19
New Mexico 94 56 14 1 2 39 18 19 1
New York 611 383 331 1 5 46 104 104 20
North Carolina 506 353 235 10 21 87 41 77 35
North Dakota 17 9 5 0 0 4 3 1 4
Ohio 480 316 184 12 7 113 39 103 22
Oklahoma 233 149 113 8 9 19 33 32 19
Oregon 71 34 17 1 5 11 12 22 3
Pennsylvania 651 497 386 10 11 90 65 67 22
Rhode Island 27 10 3 0 1 6 10 6 1
South Carolina 394 312 201 7 10 94 34 34 14
South Dakota 27 12 5 1 5 1 8 2 5
Tennessee 402 297 204 13 7 73 40 51 14
Texas 1,276 906 610 19 36 241 146 135 89
Utah 54 34 26 2 0 6 5 6 9
Vermont 10 8 2 4 0 2 0 1 1
Virginia 383 275 148 6 7 114 51 43 14
Washington 209 141 84 3 5 49 18 36 14
West Virginia 57 30 19 1 1 9 6 17 4
Wisconsin 238 170 122 5 4 39 37 25 6
Wyoming 16 10 4 0 3 3 2 3 1
Guam 6 3 1 0 0 2 1 2 0
U.S. Virgin Islands 35 26 12 1 0 13 3 6 0
, 3. PA, 4. NY) Simplify all fraction answers.


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

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.


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.


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.

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

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.


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

Solutions

Expert Solution

Soln 5:

Probability = Favourable Outcome (F)/Total Outcomes (T)

For California,

T = Total people murdered by Firearm = 1275

F = People murdered by Rifles = 34

Hence,

P = 34/1275 = 0.267 or 26.7%

Soln 6:

Probability = Favourable Outcome (F)/Total Outcomes (T)

For Texas,

T = Total people murdered by Firearm = 906

F = People murdered by either Rifles or shotgun = 19 + 36 = 55

Hence,

P = 55/906 = 0.0607 or 6.07% ~6%

Soln 7:

We choose California & Texas,

Probability of Murder by Rifle in California (P1) = 34/1861 = 0.0183 or 1.83%

Probability of Murder by Rifle in Texas (P2) = 19/1276 = 0.0149 or 1.49%

Hence, Probability of Murder by Rifle in California is more likely than that of in Texas

orchestra answered 2 years ago
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