A certain reagent is created to test for an infectious disease. The test has an accuracy rate of p = 90%, and the accuracy does not depend on whether or not the patient is actually infected. a. If four people are tested for the disease, what is the probability that at least three of them receive accurate test results? b. In an area where q = 5% of people are infected, a man’s test result is positive. What is probability that it is a false positive (which means that he is not infected but the test is positive due to inaccuracy)? *please solve for a-b, type or neatly write your answers on paper, NO EXCEL* thank you !
A certain reagent is created to test for an infectious disease. The test has an accuracy rate of p = 90%, and the accuracy does not depend on whether or not the patient is actually infected. a. If four people are tested for the disease, what is the probability that at least three of them receive accurate test results? b. In an area where q = 5% of people are infected, a man’s test result is positive. What is probability that it is a false positive (which means that he is not infected but the test is positive due to inaccuracy)? *please solve for a-b, type or neatly write your answers on paper, NO EXCEL* thank you !
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.5: Multistage Decision Problems
Problem 19P
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A certain reagent is created to test for an infectious disease. The test has an
accuracy rate of p = 90%, and the accuracy does not depend on whether or not the
patient is actually infected.
a. If four people are tested for the disease, what is the probability that at least
three of them receive accurate test results?
b. In an area where q = 5% of people are infected, a man’s test result is
positive. What is probability that it is a false positive (which means that he is not
infected but the test is positive due to inaccuracy)?
*please solve for a-b, type or neatly write your answers on paper, NO EXCEL* thank you !
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