Counting Techniques and Introduction to Probability

NAME:

KrystalGoode

MATH

1

2

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: Unit

4

Individual Project Answer Form

Counting Techniques and Introduction to Probability

ALL questions below must be answered.
Show ALL step-by-step calculations, round all your final answers correctly, and include the units of measurement
. Submit this modified Answer Form in the Unit 4 IP Submissions area.

3

0

1

1

0

0

0

Alaska

5

7

3

9

1

24

3

Arizona

278

17

1

128

3

3

6

42

55

Arkansas

16

4

11

0

51

10

4

45

30

California

1,861

1,275

855

34

33

353

263

233

90

Colorado

176

1

15

65

12

6

32

25

Connecticut

107

73

29

0

2

42

9

Delaware

63

52

26

0

0

26

6

3

2

District of Columbia

162

1

21

65

1

0

55

28

8

Georgia

565

464

394

16

10

44

38

60

3

Hawaii

19

4

1

1

0

2

6

2

7

Idaho

30

24

17

4

0

3

3

3

0

Illinois

497

440

431

2

1

6

29

25

3

Indiana

272

20

9

14

7

9

5

48

29

12

Iowa

72

49

31

0

2

16

10

5

8

Kansas

125

91

51

4

4

32

9

Kentucky

209

141

91

1

9

40

30

26

12

Louisiana

474

379

207

7

9

156

46

43

6

Maine

23

16

0

0

1

3

1

3

Maryland

372

279

266

3

3

7

44

33

16

Massachusetts

126

81

33

1

0

47

27

11

7

Michigan

571

389

148

10

10

221

52

103

27

Minnesota

13

3

79

47

6

9

17

23

10

Mississippi

159

126

102

3

5

16

11

14

8

Missouri

499

418

233

12

11

162

26

40

15

Montana

36

18

0

0

5

8

3

7

Nebraska

61

43

41

1

1

0

9

8

1

Nevada

177

113

17

1

1

94

25

30

9

New Hampshire

14

8

4

0

0

4

6

0

0

New Jersey

353

255

200

3

0

52

38

41

19

New Mexico

94

56

14

1

2

39

18

19

1

New York

611

383

331

1

5

46

104

104

North Carolina

506

353

235

10

21

87

41

77

35

North Dakota

17

9

5

0

0

4

3

1

4

Ohio

480

316

184

12

7

113

39

103

22

Oklahoma

233

149

113

8

9

19

33

32

19

Oregon

71

34

17

1

5

11

12

22

3

Pennsylvania

651

497

386

10

11

90

65

67

22

Rhode Island

27

10

3

0

1

6

10

6

1

South Carolina

394

312

201

7

10

94

34

34

14

South Dakota

27

12

5

1

5

1

8

2

5

Tennessee

402

297

204

13

7

73

40

51

14

Texas

1,276

906

610

19

36

241

146

135

89

Utah

54

34

26

2

0

6

5

6

9

Vermont

10

8

2

4

0

2

0

1

1

Virginia

383

275

148

6

7

114

51

43

14

Washington

209

141

84

3

5

49

18

36

14

West Virginia

57

30

19

1

1

9

6

17

4

Wisconsin

238

170

122

5

4

39

37

25

6

Wyoming

16

10

4

0

3

3

2

3

1

Guam

6

3

1

0

0

2

1

2

0

U.S. Virgin Islands

35

26

12

1

0

13

3

6

0

State Total Murders1 Total Firearms Handguns Rifles Shotguns Firearms (Type Unknown) Knives or Cutting Instruments Other Weapons Hands, Fists, Feet, and so on2 Alabama

3

1

12

2

7

8

4

10

18

6

19

17

16

9

5

22

14

11

15

21

13

20

(FBI, 2015)

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.

1. In how many ways can six states be selected from the top 11 states with the most murders if the order of the six states matters? Round off your answer to the nearest whole number.

In how many ways can six states be selected from the top 11 states with the most murders if the order of the six states does not matter? Round your answer to the nearest whole number.

		Answers
Oder is considered
Order is not considered

Show your work here:

2. What would be the probability that randomly choosing four states from the top 7 murder states would actually be the top 4 states for murders in the United States in exact correct decreasing order?

(1. CA, 2. TX, 3. PA, 4. NY) Simplify all fraction answers.

		Answer
			Probability

Show your work here:

3. Find the top 22 states with the most number of total murders. Then, calculate the mean, median, and mode. Round off your answer to the nearest whole number.

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

Rank	Top 20 States	Total Murders

Answers

Mean

Median

Mode

Show your work here:

4. Calculate the variance and standard deviation for the top 22 states with the most number of total murders. Round off your answer to the nearest whole number.

Answers

Variance

Standard Deviation

Show your work here:

5. In California, given that a specific person was murdered by a firearm, what was the probability that the murder was committed with a rifle? Simplify all fraction answers.

Answer

Probability

Show your work here:

6. In Texas, 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? Simplify all fraction answers.

Answer

Probability

Show your work here:

7. Choose 2 states, and determine how many more times likely a person is to be murdered using a rifle in one state compared to the other state if the person is murdered. Simplify all fraction answers.

Probability

Chosen States

Show your work here:

The number of times more likely (rounded to the nearest thousandths)

8. For what reasons do you think California and Texas seemingly had a disproportionate number of murders than Pennsylvania and New York in 2015? Please do your research and include the references that support your answer.

Explain your answer here:

Reference

Federal Bureau of Investigation (FBI). (2015). Table 20: Murder by states, types of weapons, 2015. Retrieved from https://ucr.fbi.gov/crime-in-the-u.s/2015/crime-in-the-u.s.-2015/tables/table-20