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: 45d

Answer

P(35 to 44 years of age or uses social media) $=\frac{187}{265}\approx0.706$

Work Step by Step

The sample space: 530 adult Americans. So, N(S) = 530. According to the marginal distribution (see definition, page 235) of the first row: N(uses social media) = 338. According to the marginal distribution (see definition, page 235) of the second column: N(35 to 44 years of age) = 125 According to the cell in the first row, second column: N(35 to 44 years of age and uses social media) = 89. P(35 to 44 years of age or uses social media) = P(35 to 44 years of age) + P(35 to 44 years of age) - P(35 to 44 years of age and uses social media) = $\frac{N(\text{35 to 44 years of age})}{N(S)}+\frac{N(\text{uses social media})}{N(S)}-\frac{N(\text{35 to 44 years of age and uses social media})}{N(S)}=\frac{125}{530}+\frac{338}{530}-\frac{89}{530}=\frac{374}{530}=\frac{187}{265}\approx0.706$
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