answer all questions with explanation

A study of drug offenders who have been treated for drug abuse suggests that the chance of conviction within a 2-year perlod 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. Status Within 2 Years After Treatment Not Education Convicted Convicted Totals 10 Years or More 0.12 0.16 0.30 9 Years or Less 0.29 0.41 0.70 Totals 0.41 0.50 1.on Suppose a single offender is selected from the treatment program. Here are the events of interest. 4: 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. (Round your answers to three decimal places.) (a) (b) B (c) AnB (d) AUB (8) AC (f) A given that B has occurred (g) B given that A has occurred