(P4.56)- Drug Offenders A study of drug offenders who have been treated for drug abuse suggests.....

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(P4.56)- Drug Offenders 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.

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:

a. A b. B c. A ^ B

d. A U B e. Ac f. (A U B)c

g. (A ^ B)c h. A given that B has occurred

i. B given that A has occurred


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