Elementary Statistics: Picturing the World (6th Edition)

Published by Pearson
ISBN 10: 0321911210
ISBN 13: 978-0-32191-121-6

Chapter 3 - Probability - Section 3.2 Conditional Probability and the Multiplication Rule - Exercises - Page 156: 37

Answer

P(infected|positive) = P(infected & positive) / P(positive) = (1/200 x 0.8) / ((1/200 x 0.8) + (199/200 x 0.05) = 0.074 P(not infected|negative) = P(not infected & negative) / P(negative) = (199/200 x 0.95) / ((199/200 x 0.95) + (1/200 x 0.2) = 0.999

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