Suppose that one person in 1,000 has a particular disease for which there is a fairly accurate diagnostic test. This test is correct 98% of the time when given to a person selected at random who is a sufferer; it is correct 97% of the time when given to a person selected at random who is a non-sufferer. Calculate the following probabilities: (a) that, given a positive result, the person is a sufferer; (b) that, given a negative result, the person is a non-sufferer.
Suppose that one person in 1,000 has a particular disease for which there is a fairly accurate diagnostic test. This test is correct 98% of the time when given to a person selected at random who is a sufferer; it is correct 97% of the time when given to a person selected at random who is a non-sufferer. Calculate the following probabilities: (a) that, given a positive result, the person is a sufferer; (b) that, given a negative result, the person is a non-sufferer.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
Suppose that one person in 1,000 has a particular disease for which there is a fairly accurate diagnostic test. This test is correct 98% of the time when given to a person selected at random who is a sufferer; it is correct 97% of the time when given to a person selected at random who is a non-sufferer. Calculate the following
(a) that, given a positive result, the person is a sufferer;
(b) that, given a negative result, the person is a non-sufferer.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON