Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Section 5.1 - Assess Your Understanding - Applying the Concepts - Page 266: 32b

Answer

$P(E)=\frac{7}{365}\approx0.0192$. It means that, if we randomly select 3650 people, we would expect that the number of people that have a birthday on the 31st day of a month is about 70.

Work Step by Step

Event = "birthday on the 31st day of a month" = {Jan 31, Mar 31, May 31, Jul 31, Aug 31, Oct 31, Dec 31}. So, $N(E)=7$ One year = 365 days, so $N(S)=365$ Using the Classical Method: $P(E)=\frac{N(E)}{N(S)}=\frac{7}{365}\approx0.0192$
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