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

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: The offender has 10 or more years of education The offender is convicted within 2 years after completion of treatment Find the appropriate probabilities for these events. (Enter your answers for parts (a) through (g) to two decimal places. Round your answers for parts (h) and (i) to three decimal places.)

Explanation / Answer

a) P(A) 0.4 B) P(B) 0.4 c) P(AB) 0.12 d) P(AUB) 0.40+0.28 0.68 e) P(A') 0.6 F) P(AUB)' 1-0.12 0.88 G) P(AB)' 1-0.68 0.32 H) P(A/B) 0.12/0.4 0.3333 I) P(B/A) 0.12/0.4 0.3333

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