Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Section 5.6 - Assess Your Understanding - Applying the Concepts - Page 312: 21f

Answer

$P(survived~|~female)=\frac{316}{425}\approx0.7435$

Work Step by Step

From (b): $P(female)=\frac{425}{2224}$ From (d): $P(female~and~survived)=\frac{316}{2224}$ Use the Conditional Probability Rule (page 288): $P(survived~|~female)=\frac{P(female~and~survived)}{P(female)}=\frac{\frac{316}{2224}}{\frac{425}{2224}}=\frac{316}{425}\approx0.7435$
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