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(a) What is the probability that a person will have a positive blood test? (b) If your blood test is positive, what is the chance that you have the disease? (c) If your blood test is negative, what is the chance that you do not have the disease?

(a) What is the probability that a person will have a positive blood test? (b) If your blood test is positive, what is the chance that you have the disease? (c) If your blood test is negative, what is the chance that you do not have the disease?

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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### Problem 1.6.1 Suppose it is known that 1% of the population suffers from a particular disease. A blood test has a 97% chance of identifying the disease for diseased individuals, but also has a 6% chance of falsely indicating that a healthy person has the disease. - **(a)** What is the probability that a person will have a positive blood test? - **(b)** If your blood test is positive, what is the chance that you have the disease? - **(c)** If your blood test is negative, what is the chance that you do not have the disease?
Transcribed Image Text:### Problem 1.6.1 Suppose it is known that 1% of the population suffers from a particular disease. A blood test has a 97% chance of identifying the disease for diseased individuals, but also has a 6% chance of falsely indicating that a healthy person has the disease. - **(a)** What is the probability that a person will have a positive blood test? - **(b)** If your blood test is positive, what is the chance that you have the disease? - **(c)** If your blood test is negative, what is the chance that you do not have the disease?
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