Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 4 - Probability and Counting Rules - 4-2 The Addition Rules for Probability - Extending the Concepts - Page 209: 30

Answer

No. see explanations.

Work Step by Step

Given P(A) = 0.42, P(B) = 0.38, and P(A or B) = 0.70. P(A or B)=P(A)+P(B)-P(A and B) or 0.70=0.42+0.38-P(A and B) we have P(A and B)=$0.10\ne0$ So A and B are not mutually exclusive.
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