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 279: 46d

Answer

P(male or Sunday) $=\frac{26,948}{37,665}\approx0.715$

Work Step by Step

The sample space: 75,330 drivers involved in fatal crashes in the United States in 2009. So, N(S) = 75,330. According to the marginal distribution (see definition, page 235) of the first column: N(male) = 49,571. According to the marginal distribution (see definition, page 235) of the first row: N(Sunday) = 12,547. According to the cell in the first row, first column: N(male and Sunday) = 8,222. P(male or Sunday) = P(male) + P(Sunday) - P(male and Sunday) = $\frac{N(male)}{N(S)}+\frac{N(Sunday)}{N(S)}-\frac{N(\text{male and Sunday})}{N(S)}=\frac{49,571}{75,330}+\frac{12,547}{75,330}-\frac{8,222}{75,330}=\frac{53,896}{75,330}=\frac{26,948}{37,665}\approx0.715$
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