A study was conducted of prior drug offenders who then participated in a drug tr

Question

A study was conducted of prior drug offenders who then participated in a drug treatment program. The study looked at the offender’s level of education and whether the offender was convicted of a later drug offense within 2 years of completing the treatment program. The proportions are summarized in the Venn Diagram below.

STAT 225 Course Int stat purdue.edu 1H4 Leiyi Pan www.stat purdue ed Homework www.stat purcue.ed LON-CAPA HW 6:Th 3. A study was conducted of prior drug offenders who then participated in a drug treatment program. The study looked at the offender's level of education and whether the offender was convicted of a later drug offense within 2 years of completing the treatment program. The proportions are summarized in the Venn Diagram below. 10 years of education 9 or less years of education 0.30 0.33 Convicted w/in 2 years 0.27 0.10 We will define the following... Event A: An offender has 10 years or more of education Event B: An offender is convicted of later drug offense within 2 years after completion of treatment. Find the following probabilities: a) P(B) b) POAC) c) P(A nB) d) P(A u BC) e) P(BIA) g) Are the events A and B mutually exclusive? Justify your answer mathematically. h) Are the events A and B independent? Justify your answer mathematically. Chegg Study Guide.

Explanation / Answer

As per Chegg guidelines, I will be answering first 4 sub-parts of this question

We know that P(A)=0.3+0.1=0.4 and P(B)=0.1+0.27=0.37

a) P(B)=0.37

b) P(AC)=1-P(A)=1-0.4=0.6

C)P(AC intersection B) =0.27

D)P(A union BC)=0.3+0.1+0.33=0.73

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