A study of drug offenders who have been treated for drug abuse suggests that the chance 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 following table. Status Within 2 Years After Treatment Education Convicted Not Convicted Totals 10 Years or More 0.11 0.19 0.30 9 Years or Less 0.29 0.41 0.70 Totals 0.40 0.60 1.00 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. (Round your answers to three decimal places.) (a) A (b) B (c) A ∩ B (d) A ∪ B (e) AC (f) A given that B has occurred (g) B given that A has occurred
A study of drug offenders who have been treated for drug abuse suggests that the chance 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 following table. Status Within 2 Years After Treatment Education Convicted Not Convicted Totals 10 Years or More 0.11 0.19 0.30 9 Years or Less 0.29 0.41 0.70 Totals 0.40 0.60 1.00 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. (Round your answers to three decimal places.) (a) A (b) B (c) A ∩ B (d) A ∪ B (e) AC (f) A given that B has occurred (g) B given that A has occurred
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
Related questions
Question
100%
A study of drug offenders who have been treated for drug abuse suggests that the chance 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 following table.
Status Within 2 Years After Treatment |
|||
---|---|---|---|
Education | Convicted | Not Convicted |
Totals |
10 Years or More | 0.11 | 0.19 | 0.30 |
9 Years or Less | 0.29 | 0.41 | 0.70 |
Totals | 0.40 | 0.60 | 1.00 |
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. (Round your answers to three decimal places.)
(a)
A
(b)
B
(c)
A ∩ B
(d)
A ∪ B
(e)
AC
(f)
A given that B has occurred
(g)
B given that A has occurred
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Step 1: Mention the given data
VIEWStep 2: Compute the required probability
VIEWStep 3: Compute the required probability
VIEWStep 4: Compute the required probability
VIEWStep 5: Compute the required probability
VIEWStep 6: Compute the required probability
VIEWStep 7: Compute the required probability
VIEWStep 8: Compute the required probability
VIEWSolution
VIEWTrending now
This is a popular solution!
Step by step
Solved in 9 steps with 14 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt