Counting Techniques and Introduction to Probability
|
State
|
Total
murders1
|
Total firearms
|
Handguns
|
Rifles
|
Shotguns
|
Firearms
(type
unknown)
|
Knives or
cutting
instruments
|
Other
weapons
|
Hands, fists, feet, etc.2
|
|
Alaska
|
29
|
16
|
5
|
0
|
3
|
8
|
6
|
5
|
2
|
|
Arizona
|
339
|
222
|
165
|
14
|
9
|
34
|
49
|
59
|
9
|
|
Arkansas
|
153
|
110
|
52
|
4
|
6
|
48
|
22
|
17
|
4
|
|
California
|
1,790
|
1,220
|
866
|
45
|
50
|
259
|
261
|
208
|
101
|
|
Colorado
|
147
|
73
|
39
|
3
|
5
|
26
|
22
|
31
|
21
|
|
Connecticut
|
128
|
94
|
54
|
1
|
1
|
38
|
18
|
10
|
6
|
|
Delaware
|
41
|
28
|
18
|
0
|
3
|
7
|
8
|
2
|
3
|
|
District of Columbia
|
108
|
77
|
37
|
0
|
1
|
39
|
21
|
9
|
1
|
|
Georgia
|
522
|
370
|
326
|
16
|
16
|
12
|
61
|
83
|
8
|
|
Hawaii
|
7
|
1
|
0
|
1
|
0
|
0
|
2
|
1
|
3
|
|
Idaho
|
32
|
17
|
15
|
1
|
0
|
1
|
4
|
8
|
3
|
|
Illinois3
|
452
|
377
|
364
|
1
|
5
|
7
|
29
|
29
|
17
|
|
Indiana
|
284
|
183
|
115
|
9
|
12
|
47
|
36
|
43
|
22
|
|
Iowa
|
44
|
19
|
7
|
0
|
2
|
10
|
10
|
10
|
5
|
|
Kansas
|
110
|
73
|
31
|
3
|
5
|
34
|
11
|
16
|
10
|
|
Kentucky
|
150
|
100
|
77
|
6
|
5
|
12
|
13
|
24
|
13
|
|
Louisiana
|
485
|
402
|
372
|
10
|
8
|
12
|
28
|
29
|
26
|
|
Maine
|
25
|
12
|
3
|
1
|
1
|
7
|
4
|
7
|
2
|
|
Maryland
|
398
|
272
|
262
|
2
|
5
|
3
|
75
|
34
|
17
|
|
Massachusetts
|
183
|
122
|
52
|
0
|
1
|
69
|
30
|
22
|
9
|
|
Michigan
|
613
|
450
|
267
|
29
|
15
|
139
|
43
|
89
|
31
|
|
Minnesota
|
70
|
43
|
36
|
3
|
3
|
1
|
12
|
12
|
3
|
|
Mississippi
|
187
|
138
|
121
|
6
|
4
|
7
|
26
|
14
|
9
|
|
Missouri
|
364
|
276
|
158
|
13
|
9
|
96
|
28
|
42
|
18
|
|
Montana
|
18
|
7
|
2
|
3
|
1
|
1
|
4
|
5
|
2
|
|
Nebraska
|
65
|
42
|
35
|
2
|
1
|
4
|
7
|
9
|
7
|
|
Nevada
|
129
|
75
|
46
|
2
|
1
|
26
|
20
|
25
|
9
|
|
New Hampshire
|
16
|
6
|
1
|
2
|
1
|
2
|
4
|
6
|
0
|
|
New Jersey
|
379
|
269
|
238
|
1
|
5
|
25
|
51
|
41
|
18
|
|
New Mexico
|
121
|
60
|
45
|
2
|
2
|
11
|
21
|
32
|
8
|
|
New York
|
774
|
445
|
394
|
5
|
16
|
30
|
160
|
143
|
26
|
|
North Carolina
|
489
|
335
|
235
|
26
|
19
|
55
|
60
|
57
|
37
|
|
North Dakota
|
12
|
6
|
3
|
0
|
0
|
3
|
4
|
0
|
2
|
|
Ohio
|
488
|
344
|
187
|
8
|
13
|
136
|
44
|
80
|
20
|
|
Oklahoma
|
204
|
131
|
99
|
8
|
9
|
15
|
26
|
21
|
26
|
|
Oregon
|
77
|
40
|
13
|
1
|
2
|
24
|
22
|
10
|
5
|
|
Pennsylvania
|
636
|
470
|
379
|
8
|
19
|
64
|
73
|
66
|
27
|
|
Rhode Island
|
14
|
5
|
1
|
0
|
0
|
4
|
5
|
4
|
0
|
|
South Carolina
|
319
|
223
|
126
|
10
|
12
|
75
|
38
|
40
|
18
|
|
South Dakota
|
15
|
5
|
3
|
1
|
0
|
1
|
4
|
3
|
3
|
|
Tennessee
|
373
|
244
|
172
|
7
|
13
|
52
|
51
|
62
|
16
|
|
Texas
|
1,089
|
699
|
497
|
37
|
48
|
117
|
175
|
134
|
81
|
|
Utah
|
51
|
26
|
15
|
4
|
1
|
6
|
5
|
9
|
11
|
|
Vermont
|
8
|
4
|
2
|
0
|
0
|
2
|
2
|
2
|
0
|
|
Virginia
|
303
|
208
|
110
|
10
|
15
|
73
|
33
|
41
|
21
|
|
Washington
|
161
|
79
|
58
|
1
|
3
|
17
|
29
|
36
|
17
|
|
West Virginia
|
74
|
43
|
23
|
10
|
3
|
7
|
11
|
13
|
7
|
|
Wisconsin
|
135
|
80
|
60
|
7
|
3
|
10
|
21
|
13
|
21
|
|
Wyoming
|
15
|
11
|
7
|
0
|
0
|
4
|
0
|
1
|
3
|
|
Virgin Islands
|
38
|
31
|
27
|
0
|
0
|
4
|
5
|
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.
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?