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: 36

Answer

$0.345$

Work Step by Step

$P(defense~can~discredit~the~police)=0.70=70$% $P(defense~cannot~discredit~the~police)=0.30=30$% $P(Guilty~|~defense~can~discredit~the~police)=0.15=15$% $P(Guilty~|~defense~cannot~discredit~the~police)=0.80=80$% $P(Guilty)=P(Guilty~|~defense~can~discredit~the~police)P(defense~can~discredit~the~police)+P(Guilty~|~defense~cannot~discredit~the~police)P(defense~cannot~discredit~the~police)=0.15\times0.70+0.80\times0.30=0.345$
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