Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Section 5.3 - Assess Your Understanding - Applying the Concepts - Page 286: 27b

Answer

$P(at~least~one~has~not~driven~while~under~the~influence~of~alcohol)=0.975611$

Work Step by Step

The event "at least one has not driven while under the influence of alcohol" is the complement of "all 3 have driven while under the influence of alcohol". So, we use the Complement Rule (see page 275): $P(at~least~one~has~not~driven~while~under~the~influence~of~alcohol)=1-P(all~3~have~driven~while~under~the~influence~of~alcohol)=1-0.024389=0.975611$
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