Stats: Data and Models (3rd Edition)

Published by Pearson
ISBN 10: 0321692551
ISBN 13: 978-0-32169-255-9

Chapter 15 - Probability Rules! - Exercises - Page 377: 13

Answer

$21\%$

Work Step by Step

By the definition of conditional probability: $P(B|A)=\frac{P(A\cap B)}{P(A)}$. Hence here: $P(\text{fever and sore throat})=P(\text{fever})\cdot P(\text{sore throat|fever})=70\%\cdot30\%=0.7\cdot0.3=0.21=21\%$
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