Problem 10

A study of the behavior of a large number of drug offenders after treatment 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:

Education

Convicted

Not Convicted

Totals

10 Years or More

0.10

0.30

0.40

9 Years or Less

0.27

0.33

0.60

Totals

0.37

0.63

1.00

Suppose a single offender is selected at random from the treatment program. The events of

interest are:

A

: The offender has 10 or more years of education.

B

: The offender is convicted within 2 years of completing treatment.