Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Section 5.5 - Assess Your Understanding - Applying the Concepts - Page 306: 40b

Answer

$P(guessing~the~Social~Security~number~of~the\\~president~of~the~U.S.)=\frac{1}{1,000,000,000}=0.000000001$

Work Step by Step

The sample space: 1,000,000,000 Social Security numbers. So, N(S) = 1,000,000,000. The president of the United States has one Social Security number. So, N(Social Security number of the president of the U.S.) = 1. Using the Classical Method (see page 259): $P(guessing~the~Social~Security~number~of~the\\~president~of~the~U.S.)=\frac{N(Social~Security~number~of~the~president~of~the~U.S)}{N(S)}=\frac{1}{1,000,000,000}=0.000000001$
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