NAME: | Mary Smith |
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MATH125: Unit 4 Individual Project
ANSWER FORM
ANSWERS | |
Order is considered | 720 |
Order is NOT considered | 120 |
Show/Explain your work below
- In how many ways can 5 states be selected from the top 10 states with the most murders if the order of the 5 statesmatters?
- In how many ways can 5 states be selected from the top 10 states with the most murders if the order of the 5 states does not matter?
10P3=10! / (10-3)! = 10! / 7! = 10*9*8*7! / 7! = 10*9*8= 720
10C3= 10! / (10-3)! * 3! = 10! / 7! * 3! = 10*9*8*7! / 7! * 3*2*1 = 720 / 6 = 120
ANSWER | |
Probability | 120 |
Show/Explain your work below
- 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)?
6P3= 6! / (6! – 3!) = 6! / 3! = 6*5*4*3! /3*2*1 = 6*5*4 = 120
RANK | TOP 20 STATES | TOTAL MURDERS |
1 | California | 1,790 |
2 | Texas | 1,089 |
3 | New York | 774 |
4 | Pennsylvania | 636 |
5 | Michigan | 613 |
6 | Georgia | 522 |
7 | North Carolina | 489 |
8 | Ohio | 488 |
9 | Louisiana | 485 |
10 | Illinois | 452 |
11 | Maryland | 398 |
12 | New Jersey | 379 |
13 | Tennessee | 373 |
14 | Missouri | 364 |
15 | Arizona | 339 |
16 | South Carolina | 319 |
17 | Virginia | 303 |
18 | Indiana | 284 |
19 | Oklahoma | 204 |
20 | Mississippi | 187 |
ANSWERS | |
MEAN | 524.4 |
MEDIAN | 425 |
MODE | There is no mode |
Show/Explain your work below
- Find the top 20 states with the most number of total murders. Then, calculate the mean, median, and mode.
Mean: 1790+1089+774+636+613+522+489+488+485+452+398+379+373+364+339+319+303+284+204+187 / 20 = 10488 / 20 =524.4
Median: 452+398 / 2 = 850 / 2 = 425
Mode: For this data set, there is not any reoccurring number, therefore, there is no mode.
ANSWERS | |
VARIANCE | 131480.8 |
STANDARD DEVIATION | 362.6 |
Show/Explain your work below
- Calculate the variance and standard deviation for the top 20 states with the most number of total murders.
ANSWER | |
Probability | 0.0057 |
Show/Explain your work below
- Range: 1790 – 187 = 1603
- Variance: (1790-1603)2+(1089-1603)2+(774-1603)2+(636-1603)2+(613-1603)2+(522-1603)2+(489-1603)2+(488-1603)2+(485-1603)2+(452-1603)2+(398-1603)2+(379+1603)2+(373-1603)2+(364-1603)2+(339-1603)2+(319-1603)2+(303-1603)2+(284-1603)2+(204-1603)2+(187-1603)2 / 20-1= 34969+264196+687241+935089+980100+1168561+1240996+1243225+1249924+1324801+1452025+1498176+1512900+1535121+1597696+1648656+1690000+1739761+1957201+2005056 / 20-1 = 25765694 / 19 = 1356089.16
- Standard Deviation: = 362.6
- In Texas, given that a specific person was murdered by a firearm, what is the probability that the murder was committed with a rifle?
ANSWER | |
Probability | 0.078 |
Show/Explain your work below
- 4 / 699 = 0.0057
- 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?
CHOSEN STATES | PROBABILITY |
Alaska | 0.31 or 31% |
Arizona | 0.74 or 74% |
Show/Explain your work below
- 45 + 50 = 95 / 1220 = 0.078
- Choose 2 states, and determine how many more times likely a person is to be murdered using a handgun in one state compared to the other state if the person is murdered.
Alaska: 5 / 16 = 0.31 = 31 / 100 = 31%
Arizona: 165 / 222 = 0.74 / 100 = 74%
Explain your answer below
- For what reasons do you think California and Texas seemingly had a disproportionate number of murders than New York and Pennsylvania in 2011? Please do your research and include the references that support your answer.
Reference: