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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
CONDITIONAL AND MARGINAL
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
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.
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman