Stats Modeling the World, 4th Edition

Published by Pearson
ISBN 10: 0133151549
ISBN 13: 978-0-13315-154-1

Chapter 14 - Probability Rules! - Exercises - Page 385: 20

Answer

a. i. 0.68 ii. 0.811 iii. 0.324 b. 0.75

Work Step by Step

a. i. P(favor) = P(favor and Republican) + P(favor and Democrat) + P(favor and other) = 0.3 + 0.22 + 0.16 = 0.68 ii. P(Republican) = P(Republican and favor) + P(Republican and oppose) + P(Republican and no opinion) = 0.3 + 0.04 + 0.03 = 0.37 P(favor|Republican) = P(Republican and favor)/P(Republican) = 0.3/0.37 = 0.811 iii. P(Democrat|favor) = P(favor and Democrat)/P(favor) = 0.22/0.68 = 0.324 b. P(Republican or favor) = P(Republican) + P(favor) - P(Republican and favor) = 0.37 + 0.68 - 0.3 = 0.75
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