MATH125: Unit 4 Individual Project Counting Techniques and Introduction to Probability

Question # 00225081 Posted By: echo7 Updated on: 03/19/2016 03:57 AM Due on: 04/18/2016
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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

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

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

269
60
445
335
6
344
131
40
470
5

238
45
394
235
3
187
99
13
379
1

1
2
5
26
0
8
8
1
8
0

5
2
16
19
0
13
9
2
19
0

25
11
30
55
3
136
15
24
64
4

51
21
160
60
4
44
26
22
73
5

41
32
143
57
0
80
21
10
66
4

18
8
26
37
2
20
26
5
27
0

South Carolina
South Dakota
Tennessee
Texas
Utah
Vermont
Virginia
Washington
West Virginia
Wisconsin
Wyoming
Virgin Islands

319
15
373
1,089
51
8
303
161
74
135
15
38

223
5
244
699
26
4
208
79
43
80
11
31

126
3
172
497
15
2
110
58
23
60
7
27

10
1
7
37
4
0
10
1
10
7
0
0

12
0
13
48
1
0
15
3
3
3
0
0

75
1
52
117
6
2
73
17
7
10
4
4

38
4
51
175
5
2
33
29
11
21
0
5

40
3
62
134
9
2
41
36
13
13
1
2

18
3
16
81
11
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

(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-inthe-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/table-20
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