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: 43d

Answer

P(female or 1 ticket) $=\frac{122}{197}\approx0.619$

Work Step by Step

The sample space: 197 individuals. So, N(S) = 197. According to the marginal distribution (see definition, page 235) of the first row: N(female) = 115. According to the marginal distribution (see definition, page 235) of the second column: N(1 ticket) = 21. According to the cell in the first row, second column: N(female and 1 ticket) = 14. P(female or 1 ticket) = P(female) + P(1 ticket) - P(female and 1 ticket) = $\frac{N(female)}{N(S)}+\frac{N(1 ticket)}{N(S)}-\frac{N(\text{female and 1 ticket})}{N(S)}=\frac{115}{197}+\frac{21}{197}-\frac{14}{197}=\frac{122}{197}\approx0.619$
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