Steps taken and work for each question MUST be shown and provided. Thanks!
1. The data below show the frequency of the victimoffender relationship for violent crime for male victims (Bureau of Justice Statistics 2007). Calculate the variation ratio for these data.
VictimOffender Relationship 
f 
Proportion 

Nonstranger 




Intimate 
69,100 
0.025 

Other relative 
104,810 
0.038 

Friend/acquaintance 
1,090,940 
0.396 




Stranger 

1,380,230 
0.502 
Relationship unknown 
106,960 
0.039 

Total 

2,752,040 
1.000 
2. The table below features the larceny theft rate in 2006 for all 50 states and the District of Columbia (Bureau of Justice Statistics):
Interval 
f 
1188.9  1540.9 
4 
1541.9  1893.9 
11 
1894.9  2246.9 
9 
2247.9  2599.9 
13 
2600.9  2952.9 
14 
Using these data, calculate the variance and standard deviation.
3. The following data show the robbery rate for 16 states in 2006 (Bureau of Justice Statistics 2007). With these data, calculate the range, the variance, and the standard deviation.


4. The following data show the number and type of international terrorist attacks against the United States in 1994 and 2000 (Sourcebook 2000). Is there a trend in the dispersion found in these data?
1994
2000 
Armed attack Arson Assault Bombing Firebombing Kidnapping Vandalism
Armed attack Arson Assault Bombing Firebombing Kidnapping Vandalism 
9 0 1 43 2 10 1
4 2 0 179 1 11 0 
5. In their study on crime reporting determinants in the city of Tianjin, China, Zhang et al (2007), provided the following demographic characteristics of crime subsamples:
Variable 
Subsample 

Robbery/Assault 
Personal Theft 
Burglary 

Gender 



Male 
62 
115 
55 
Female 
31 
171 
49 
Age Group 



1834 
42 
119 
34 
3554 
42 
123 
55 
55 and over 
9 
44 
15 
a. What is the probability of selecting a male out of the sample?
b. What is the probability that a person reported a personal theft given that they were female?
c. What is the probability of being in the robbery or burglary subsamples?
d. What is the probability that a person was not 55 and over?
e. What is the probability of not selecting a person from the burglary subsample?
f. What is the probability of selecting someone from the personal theft or burglary subsamples given that they were female?
6. In a national household survey on drug abuse, 10% of 18–25 year olds reported ever using cocaine (Sourcebook 2000). You take a random sample of 10 students at your university and find that none had ever used cocaine. What is the probability of observing no cocaine users in a sample of 10 students if the true probability of cocaine use is 0.10? Using an alpha of 0.05, test the null hypothesis that the probability of cocaine use is 0.10, against the alternative hypothesis that it is less than 0.10.
The probability of 0 cocaine users in a sample of 10 if the true probability of cocaine use is 0.10 is calculated as:
7. The following table describes the adjudication and disposition of 416 petitioned juveniles (Snyder and Sickmund, 1995):
Adjudicated 
Placed 
Probation 
Other 
Dismissed 
Total 
Yes 
69 
187 
41 
6 
303 
No 
1 
27 
3 
82 
113 
Total 
70 
214 
44 
88 
416 
a. What is the probability that a juvenile was placed?
b. Is this a conditional or an unconditional probability? Explain.
c. What is the probability that a juvenile was not placed?
d. What is the probability that a juvenile was adjudicated?
e. What is the probability that a juvenile was adjudicated or dismissed?
f. Are these mutually exclusive events? Explain.
g. What is the probability that a juvenile was adjudicated and placed?
h. If adjudicated, what is the probability of being placed?
i. If not adjudicated, what is the probability of being placed?
j. Are adjudication and disposition independent events? Explain.
8. Let’s say that the average salary for a state correctional officer in the United States is equal to $28,250, with a standard deviation of $3,500. Decide which of the following states have unusually high or unusually low salaries, where high and low means in the top or bottom 5%.
a. b. c. d. 
California Alaska New York Mississippi 
$23,300 $42,600 $38,800 $15,300 
Subject  Mathematics 
Due By (Pacific Time)  07/19/2014 08:00 am 
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