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Math125 – Unit 4 Individual Assignment Complete solution

Math125 – Unit 4 Individual Assignment Complete solution

Math125 – Unit 4 Individual Assignment

 

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

 

 

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?


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