Problem 3. A study of male criminals in Philadelphia found that the probability that one type of offense is followed by another type can be described by the following transition table: Current Nonindex Injury Theft Damage Combination Next Nonindex Injury Theft Damage Combination 0.645 0.099 0.152 0.033 0.071 0.611 0.090 0.514 0.118 0.609 0.042 0.523 0.179 0.138 0.128 0.033 0.067 0.271 0.030 0.107 0.178 0.064 0.093 0.183 0.022 (a) For a criminal who commits theft, what is the probability that his next crime is also a theft? (b) For a criminal who commits theft, what is the probability that his second crime after that is also a theft? (c) If this trends continue, what are the long-term probabilities for each type of crime?
Problem 3. A study of male criminals in Philadelphia found that the probability that one type of offense is followed by another type can be described by the following transition table: Current Nonindex Injury Theft Damage Combination Next Nonindex Injury Theft Damage Combination 0.645 0.099 0.152 0.033 0.071 0.611 0.090 0.514 0.118 0.609 0.042 0.523 0.179 0.138 0.128 0.033 0.067 0.271 0.030 0.107 0.178 0.064 0.093 0.183 0.022 (a) For a criminal who commits theft, what is the probability that his next crime is also a theft? (b) For a criminal who commits theft, what is the probability that his second crime after that is also a theft? (c) If this trends continue, what are the long-term probabilities for each type of crime?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
Related questions
Question
![Problem 3. A study of male criminals in Philadelphia found that the probability
that one type of offense is followed by another type can be described by the following
transition table:
Current
Nonindex
Injury
Theft
Damage
Combination
Next
Nonindex Injury Theft Damage
0.645
0.099 0.152 0.033
0.611
0.514
0.609
0.523
0.138 0.128 0.033
0.067 0.271
0.030
0.107 0.178
0.093 0.183
0.064
0.022
Combination
0.071
0.090
0.118
0.042
0.179
(a) For a criminal who commits theft, what is the probability that his next crime is
also a theft?
(b) For a criminal who commits theft, what is the probability that his second crime
after that is also a theft?
(c) If this trends continue, what are the long-term probabilities for each type of crime?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30e714d6-c3d6-4fe9-9c10-b4b8c64f125f%2Fffdce1a7-0fa7-42f8-b574-78bbb93b9936%2Fb6gtj1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 3. A study of male criminals in Philadelphia found that the probability
that one type of offense is followed by another type can be described by the following
transition table:
Current
Nonindex
Injury
Theft
Damage
Combination
Next
Nonindex Injury Theft Damage
0.645
0.099 0.152 0.033
0.611
0.514
0.609
0.523
0.138 0.128 0.033
0.067 0.271
0.030
0.107 0.178
0.093 0.183
0.064
0.022
Combination
0.071
0.090
0.118
0.042
0.179
(a) For a criminal who commits theft, what is the probability that his next crime is
also a theft?
(b) For a criminal who commits theft, what is the probability that his second crime
after that is also a theft?
(c) If this trends continue, what are the long-term probabilities for each type of crime?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL