An Introduction to Mathematical Statistics and Its Applications (6th Edition)

Published by Pearson
ISBN 10: 0-13411-421-3
ISBN 13: 978-0-13411-421-7

Chapter 2 Probability - 2.4 Conditional Probability - Questions - Page 45: 38

Answer

$0.366=36.6\%$

Work Step by Step

$P(Early~Release~|~Related)=0.90$ $P(Early~Release~|~Not~Related)=0.01$ $P(Related)=0.40$ $P(Not~Related)=1-0.40=0.60$ $P(Early~Release)=P(Early~Release~|~Related)P(Related)+P(Early~Release~|~Not~Related)P(Not~Related)=0.90\times0.40+0.01\times0.60=0.366$
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