MATH125: Unit 4 Individual ProjectAnswer Form Counting Techniques and Introduction to Probability

NAME:

Krystal Goode

 

MATH125: Unit 4 Individual ProjectAnswer 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.

 

 

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 3 1 0 1 1 0 0 0 Alaska 57 39 12 2 1 24 7 8 3 Arizona 278 171 128 4 3 36 42 55 10 Arkansas 164 110 51 10 4 45 18 30 6 California 1,861 1,275 855 34 33 353 263 233 90 Colorado 176 115 65 12 6 32 25 19 17 Connecticut 107 73 29 0 2 42 16 9 9 Delaware 63 52 26 0 0 26 6 3 2 District of Columbia 162 121 65 1 0 55 28 8 5 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 272 209 147 9 5 48 22 29 12 Iowa 72 49 31 0 2 16 10 5 8 Kansas 125 91 51 4 4 32 9 14 11 Kentucky 209 141 91 1 9 40 30 26 12 Louisiana 474 379 207 7 9 156 46 43 6 Maine 23 16 15 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 133 79 47 6 9 17 21 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 13 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 20 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

 

 

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

 

In how many ways cansixstates 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 notconsidered

 

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2.       What would be the probability that randomly choosing fourstates 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

 

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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.

 

Rank	Top 20 States	Total Murders
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22

 

	Answers
Mean
Median
Mode

 

 

 

 

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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

 

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5.       InCalifornia, 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

 

 

 

 

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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

 

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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.

 

Chosen States	Probability

 

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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 Pennsylvaniaand 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/...