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: 33d

Answer

P(not born in December) $=\frac{334}{365}\approx0.915$

Work Step by Step

The sample space: a year (365 days). So, N(S) = 365. The event "a person was not born in December" is the complement of "a person was born in December". December has 31 days, so N(born in December) = 31. Now: P(not born in December) = 1 - P(born in December) = $1-\frac{N(\text{born in December})}{N(S)}=\frac{365}{365}-\frac{31}{365}=\frac{334}{365}\approx0.915$
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