Question

Research studies suggest that the likelihood a drug offender will be convicted of a drug offense within two years after treatment for drug abuse may depend on the person's educational level. 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	Total
10 or more years of education	0.10	0.30	0.40
Less than 10 years of education	0.25	0.35	0.60
Total	0.35	0.65	1.00

Suppose a single offender is randomly selected from the treatment program.

The probability that the offender has 10 years or more of education and is not convicted of a drug offense within two years after treatment for drug abuse equals:

[A] 0.10 [B] 0.30 [C] 0.75 [D] 0.40

Given that the offender has less than 10 years of education, what is the probability that the offender is not convicted of a drug offense within two years after treatment for drug abuse?

[A] 0.42 [B] 0.58 [C] 0.35 [D] 0.75

Answer 1

Answer - 1: P(Offender has 10 years or more of education and is not convicted of a drug offense within two years after treatment for drug abuse) = 0.30

Option B is correct.

Answer - 2: P(Not convicted | <10 years) = 0.35/0.60 = 0.58

Option B is correct.