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 284: 13

Answer

$P(two~people~randomly~selected~are~left-handed)=0.0169$ $P(at~least~one~is~right-handed)=0.9831$

Work Step by Step

$P(left-handed)=13$% $=0.13$ Now, using the Multiplication Rule (see page 282): $P(two~people~randomly~selected~are~left-handed)=$ $P(left-handed~and~left-handed)=$ $P(left-handed)\times P(left-handed)=0.13\times0.13=0.0169$ The event at least one is right-handed is the complement of both are left-handed. Now, using the Complement Rule (see page 275): $P(at~least~one~is~right-handed)=$ $1-P(both~are~left-handed)=1-0.0169=0.9831$
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