24. Drug Offenders A study of drug offenders who have been treated for drug abuse suggests that the chance 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 following table.

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:

f. A given that B has occurred g. B given that A has occurred

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Status Within 2 Years After Treatment Not Convicted Totals Education Convicted 10 Years or More .10 .30 .40 9 Years or Less .27 .33 .60 Totals .37 .63 1.00