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 285: 27a

Answer

$P(all~3~have~driven~while~under~the~influence~ of~alcohol)=0.024389$

Work Step by Step

$29$% $=0.29$ The events "21- to 25-year-olds 1 has driven while under the influence of alcohol", "21- to 25-year-olds 2 has driven while under the influence of alcohol" and "21- to 25-year-olds 3 has driven while under the influence of alcohol" are independent. Using the Multiplication Rule for Independent Events (pag 282): $P(all~3~have~driven~while~under~the~influence~ of~alcohol)=P(21- to~25-year-olds~1~has~driven~while~under~the~influence~of~alcohol)\times P(21- to~25-year-olds~1~has~driven~while~under~the~influence~of~alcohol)\times P(21- to~25-year-olds~1~has~driven~while~under~the~influence~of~alcohol)=0.29\times0.29\times0.29=0.024389$
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