The Wood County sheriff classifies crimes by age (in years) of the criminal and whether the crime is violent or nonviolent. As shown below, a total of 150 crimes were reported by the sheriff last year.
|
Under 20
|
20 to 40
|
40 or older
|
Total
|
Violent
|
27
|
41
|
14
|
82
|
Nonviolent
|
12
|
34
|
22
|
68
|
Total
|
39
|
75
|
36
|
150
|
a. What is the probability of selecting a case to analyze and finding it involved a violent crime?
b. What is the probability of selecting a case to analyze and finding the crime was committed by someone less than 40 years old?
c. What is the probability of selecting a case that involved a violent crime or an offender less than 20 years old?
d. Given that the violent crime is selected for analysis, what is the probability the crime was committed by a person under 20 years old?
e. Two crimes are selected by Judge Tybo. What is the probability both are violent crimes?