Medical tests sometimes produce incorrect results. When a test is designed to determine whether a patient has a certain disease, a false positive result indicates that a patient has the disease when the patient does not have it. A false negative result indicated that a patient does not have the disease when the patient does have it. Consider a large-scale medical test that screens for a disease where there were 5 cases in 1000 people of the population. It is known that the test has a false positive rate of 3% and a false negative rate of 1%. (a) What is the probability that a randomly chosen person who tests positive for the disease actually has the disease? (b) What is the probability that a randomly chosen person who tests negative for the disease does not indeed have the disease?

Medical tests sometimes produce incorrect results. When a test is designed to determine whether a patient has a certain disease, a false positive result indicates that a patient has the disease when the patient does not have it. A false negative result indicated that a patient does not have the disease when the patient does have it. Consider a large-scale medical test that screens for a disease where there were 5 cases in 1000 people of the population. It is known that the test has a false positive rate of 3% and a false negative rate of 1%. (a) What is the probability that a randomly chosen person who tests positive for the disease actually has the disease? (b) What is the probability that a randomly chosen person who tests negative for the disease does not indeed have the disease?

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...

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