A laboratory blood test is 98% effective in detecting a type of disease when it is, in fact present. However, the test yields a 'false positive' result for 1% of healthy persons tested, that is, if a healthy person is tested., then the probability that the test resul will imply that he has the disease is 0.01. Assume that 5% of the population actually have the disease, what is the probability that a person has the disease knowing that his blood test result is positive.
A laboratory blood test is 98% effective in detecting a type of disease when it is, in fact present. However, the test yields a 'false positive' result for 1% of healthy persons tested, that is, if a healthy person is tested., then the probability that the test resul will imply that he has the disease is 0.01. Assume that 5% of the population actually have the disease, what is the probability that a person has the disease knowing that his blood test result is positive.
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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![Question 6:
A laboratory blood test is 98% effective in detecting a type of disease when it is, in fact present. However,
the test yields a 'false positive' result for 1% of healthy persons tested, that is, if a healthy person is tested.,
then the probability that the test resul will imply that he has the disease is 0.01.
Assume that 5% of the population actually have the disease, what is the probability that a person has the
disease knowing that his blood test result is positive.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3110fa2-b7f3-4841-a94c-43b21c904292%2F61e9b760-0b5f-4e0a-a30d-1950884876d7%2Fpdl3t3i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 6:
A laboratory blood test is 98% effective in detecting a type of disease when it is, in fact present. However,
the test yields a 'false positive' result for 1% of healthy persons tested, that is, if a healthy person is tested.,
then the probability that the test resul will imply that he has the disease is 0.01.
Assume that 5% of the population actually have the disease, what is the probability that a person has the
disease knowing that his blood test result is positive.
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