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: 32d

Answer

$P(Bryce~|~Gourmet)=\frac{3}{88}\approx0.03409$ It is an unusual event.

Work Step by Step

The sample space: 1009 cases. So, $N(S)=1009$ According to the marginal distribution (see page 235) of the first column: $N(Gourmet)=264$ According to the cell in the third row, first column: $N(Bryce~and~Gourmet)=9$ Using the Conditional Probability Rule (page 288): $P(Bryce~|~Gourmet)=\frac{N(Bryce~and~Gourmet)}{N(Gourmet)}=\frac{9}{264}=\frac{3}{88}\approx0.03409$ $P(Bryce~|~Gourmet)\lt0.05$. So, it is an unusual event.
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