Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Review - Test - Page 317: 11c

Answer

$P(female~or~2)=\frac{256}{297}\approx0.8620$

Work Step by Step

The sample space: 297 individuals. So, $N(S)=297$ According to the marginal distribution (see page 235) of the first row: $N(female)=188$ Using the Empirical Approach (page 258): $P(female)=\frac{N(female)}{N(S)}=\frac{188}{297}$ Also, from (a) and (b): $P(2)=\frac{155}{297}$ $P(female~and~2)=\frac{87}{297}$ Using the General Addition Rule (page 273): $P(female~or~2)=P(female)+P(2)-P(female~and~2)=\frac{188}{297}+\frac{155}{297}-\frac{87}{297}=\frac{256}{297}\approx0.8620$
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