Assignment Instructions/ Description
MATH 125: Unit 4 Individual Project
Counting Techniques and Introduction to Probability
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 can5 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 manymore times likely a person is to be murdered using a handgun in one state compared to the otherstate 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-in-the-u.s/2011/crime-in-the-u.s.-2011/tables/table-20
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
2
0
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