MATH125: Unit 4 Individual Project Counting Techniques

Category: Mathematics

MATH125: Unit 4 Individual Project

 

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

2

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/about-us/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            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

Arizona339         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

Illinois3452         377         364         1              5              7              29           29           17

Indiana284         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

Oregon77           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

Virginia303         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

 

 

               

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/about-us/cjis/ucr/crime-in-the-u.s/2011/crime-in-the-u.s.-2011/tables

Calculate the price of your order

You will get a personal manager and a discount.
We'll send you the first draft for approval by at
Total price:
$0.00
Pay Someone To Write Essay