Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Section 5.6 - Assess Your Understanding - Applying the Concepts - Page 312: 22a

Answer

$P(all~4~are~marijuana~users)=0.00083521$

Work Step by Step

$17$% $=0.17$ $P(18-to~25-year-olds~is~marijuana~user)=0.17$ $P(all~4~are~marijuana~users)=P(18-to~25-year-olds~1~is~marijuana~user~and~18-to~25-year-olds~2~is~marijuana~user~and~18-to~25-year-olds~3~is~marijuana~user~and~18-to~25-year-olds~4~is~marijuana~user)$ 1) not a single event 2) AND 3) independent events Use the Multiplication Rule for Independent Events (page 282): $P(all~4~are~marijuana~users)=P(18-to~25-year-olds~1~is~marijuana~user~and~18-to~25-year-olds~2~is~marijuana~user~and~18-to~25-year-olds~3~is~marijuana~user~and~18-to~25-year-olds~4~is~marijuana~user)=P(18-to~25-year-olds~1~is~marijuana~user)\times P(18-to~25-year-olds~2~is~marijuana~user)\times P(18-to~25-year-olds~3~is~marijuana~user)\times P(18-to~25-year-olds~4~is~marijuana~user)=0.17\times0.17\times0.17\times0.17=0.00083521$
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