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

Work Step by Step

As given in answer
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions