Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Section 5.2 - Assess Your Understanding - Applying the Concepts - Page 278: 38d

Answer

No. Because P(only English) + P(only Spanish) + P(only Polish) $\gt$ 1

Work Step by Step

The events "a household speaks only Polish at home", "a household speaks only English at home" and "household speaks only Spanish at home" are mutually exclusives. But: P(only English or only Spanish or only Polish) = P(only English) + P(only Spanish) + P(only Polish) = $0.81+0.12+0.08=1.01\gt1.$ It is impossible.
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