Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 5 - Section 5.2 - Assess Your Understanding - Applying the Concepts - Page 280: 47i

Answer

$P(only~property~damage)=\frac{641}{922}\approx0.6952$

Work Step by Step

For the camera system: The sample space: 922 crashes. So, $N(S)=922$ $N(reported~property~damage~only)=333$ $N(unreported~property~damage~only)=308$ The events "reported property damage only" and "unreported property damage only" are mutually exclusive (disjoint events). Using the Addition Rule for Disjoint Events (page 270) and the Classical Method (page 259): $P(only~property~damage)=P(reported~property~damage~only~or~unreported~property~damage~only)=\frac{N(reported~property~damage~only)}{N(S)}+\frac{N(unreported~property~damage~only)}{N(S)}=\frac{333}{922}+\frac{308}{922}=\frac{641}{922}\approx0.6952$
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