To find: that a negative testing of patient is completely HIV-free.
Answer to Problem 45E
0.999
Explanation of Solution
Given:
99.7% of the experiments done were (correct) positive for patients with HIV.
98.5% of the experiments were (originally) negative for people without HIV.
In fact, 15% of patients in a clinic are accused of having HIV.
Graph:
Tree diagram
Calculation:
The probability that not HIV and positive test is
For HIV and negative test is
Required probability
Therefore the 0.999 is the probability.
Chapter 15 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
Additional Math Textbook Solutions
Elementary Statistics (13th Edition)
Elementary Statistics: Picturing the World (6th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Statistical Reasoning for Everyday Life (5th Edition)
Elementary Statistics: Picturing the World (7th Edition)
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman