1. Thirty percent of those sent to jail are repeat offenders. Twenty percent of those sent to jail have been convicted of a violent crime. Ten percent are repeat offenders and have been convicted of a violent crime. (a) What is the probability that someone who is sent to jail has neither been convicted of a violent crime nor is a repeat offender? (b) If it is known that an individual is a repeat offender, what is the probability that they were convicted of a violent crime? (e) Are the events of being a repeat offender and convicted of a violent crime inde- Dendent?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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1. Thirty percent of those sent to jail are repeat offenders. Twenty percent of those sent
to jail have been convicted of a violent crime. Ten percent are repeat offenders and
have been convicted of a violent crime.
(a) What is the probability that someone who is sent to jail has neither been convicted
of a violent crime nor is a repeat offender?
(b) If it is known that an individual is a repeat offender, what is the probability that
they were convicted of a violent crime?
(c) Are the events of being a repeat offender and convicted of a violent crime inde-
pendent?
Transcribed Image Text:1. Thirty percent of those sent to jail are repeat offenders. Twenty percent of those sent to jail have been convicted of a violent crime. Ten percent are repeat offenders and have been convicted of a violent crime. (a) What is the probability that someone who is sent to jail has neither been convicted of a violent crime nor is a repeat offender? (b) If it is known that an individual is a repeat offender, what is the probability that they were convicted of a violent crime? (c) Are the events of being a repeat offender and convicted of a violent crime inde- pendent?
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