Suppose you are tested to see if you have a rare disease. Assume that if you have the disease, your test will always come back positive, but if you do not have the disease, there is still a 0.001 chance that you will test positive. In reality, only 1 of 10,000 people have the disease. Your doctor calls and says that you have tested positive. He is sorry but there is a 99.9% (120.001) chance that you have the disease. Is he correct? What is the actual probability that you have the disease?

Suppose you are tested to see if you have a rare disease. Assume that if you have the disease, your test will always come back positive, but if you do not have the disease, there is still a 0.001 chance that you will test positive. In reality, only 1 of 10,000 people have the disease. Your doctor calls and says that you have tested positive. He is sorry but there is a 99.9% (120.001) chance that you have the disease. Is he correct? What is the actual probability that you 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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