A study of drug offenders who have been treated for drug abuse suggests that the likelihood of

Question:

A study of drug offenders who have been treated for drug abuse suggests that the likelihood of conviction within a 2-year period after treatment may depend on the offender's education. The proportions of the total number of cases that fall into four education/conviction categories are shown in the table below.

Suppose a single offender is selected from the treatment program. Here are the events of interest:
A: The offender has 10 or more years of education
B: The offender is convicted within 2 years after completion of treatment
Find the appropriate probabilities for these events:
a. A
b. B
c. A ˆ© B
d. A ˆª B
e. AC
f. (A ˆª B)C
g. (A ˆ© B)C
h. A given that B has occurred
i. B given that A has occurred