Suppose that 0.4\% of a given population has a particular disease. A diagnostic test returns positive with probability .99 for someone who has the disease and returns negative with probability 0.97 for someone who does not have the disease. A) If a person is chosen at random, the test is administered, and the person tests positive, what is the probability that this person has the disease? Simplify your answer. B) Now assume that a person is tested twice and that the results of the tests are independent from each other. If the person tests positive twice, now what is the probability that this person has the disease?

Suppose that 0.4\% of a given population has a particular disease. A diagnostic test returns positive with probability .99 for someone who has the disease and returns negative with probability 0.97 for someone who does not have the disease. A) If a person is chosen at random, the test is administered, and the person tests positive, what is the probability that this person has the disease? Simplify your answer. B) Now assume that a person is tested twice and that the results of the tests are independent from each other. If the person tests positive twice, now what is the probability that this person has 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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