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CONDITIONAL AND MARGINAL PROBABILITY - Statistics and probability 1) A study of the behavior of a large number of drug addicts, after treatment for drug abuse, suggests that the probability of being convicted in a period not exceeding two years after of treatment, may depend on the education of the offender. The proportions of the total number of cases that fall into four education/conviction categories are shown in the table below. (IMG 1)  Suppose an offender is selected from the treatment program. Here we have the events of interest; A = {offender has 10 years or more of education} B = {offender is convicted no more than two years after completing treatment}. Determine: P(A), P(B), P(A ∩ B), P(A ∪ B), P(A ∩ B)^c, P(A|B) and P(B|A). Interpret the probability.

CONDITIONAL AND MARGINAL PROBABILITY - Statistics and probability 1) A study of the behavior of a large number of drug addicts, after treatment for drug abuse, suggests that the probability of being convicted in a period not exceeding two years after of treatment, may depend on the education of the offender. The proportions of the total number of cases that fall into four education/conviction categories are shown in the table below. (IMG 1)  Suppose an offender is selected from the treatment program. Here we have the events of interest; A = {offender has 10 years or more of education} B = {offender is convicted no more than two years after completing treatment}. Determine: P(A), P(B), P(A ∩ B), P(A ∪ B), P(A ∩ B)^c, P(A|B) and P(B|A). Interpret the probability.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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CONDITIONAL AND MARGINAL PROBABILITY - Statistics and probability

1) A study of the behavior of a large number of drug addicts, after treatment for drug abuse, suggests that the probability of being convicted in a period not exceeding two years after of treatment, may depend on the education of the offender. The proportions of the total number of cases that fall into four education/conviction categories are shown in the table below.

(IMG 1) 

Suppose an offender is selected from the treatment program. Here we have the events of interest;

A = {offender has 10 years or more of education}

B = {offender is convicted no more than two years after completing treatment}.

Determine: P(A), P(B), P(A ∩ B), P(A ∪ B), P(A ∩ B)^c, P(A|B) and P(B|A). Interpret the probability.

situation in no more than 2 years of treatment condemned not convicted 0.30 0.33 education 10 years or more 0.10 9 years or less 0.27
Transcribed Image Text:situation in no more than 2 years of treatment condemned not convicted 0.30 0.33 education 10 years or more 0.10 9 years or less 0.27
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