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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)
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.
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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