Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Review - Review Exercises - Page 315: 4

Answer

$P(E)=0.6$

Work Step by Step

The events "red", "blue" and "yellow" are disjoint (mutually exclusive). $N(S)=5$ $N(red)=1$ $N(blue)=1$ $N(yellow)=1$ Using the Addition Rule for Disjoint Events (page 270): $P(E)=P(red~or~blue~or~yellow)=P(red)+P(blue)+P(yellow)=\frac{N(red)}{N(S)}+\frac{N(blue)}{N(S)}+\frac{N(yellow)}{N(S)}=\frac{1}{5}+\frac{1}{5}+\frac{1}{5}=\frac{3}{5}=0.6$
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