Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Review - Review Exercises - Page 316: 32c

Answer

$P(Mallory~|~Single-Cup)=\frac{3}{25}=0.12$

Work Step by Step

The sample space: 1009 cases. So, $N(S)=1009$ According to the marginal distribution (see page 235) of the second column: $N(Single-Cup)=625$ According to the cell in the fourth row, second column: $N(Mallory~and~Single-Cup)=75$ Using the Conditional Probability Rule (page 288): $P(Mallory~|~Single-Cup)=\frac{N(Mallory~and~Single-Cup)}{N(Single-Cup)}=\frac{75}{625}=\frac{3}{25}=0.12$
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