Suppose 5% of the population in Barangy Nara have a disease. Now, there is a diagnostic technique to detect the disease but it is not very accurate. In historical evidence, it shows that if a person actually has a disease, the probability that the test will be positive is 90%. Assume that the probability that a person’s test are positive given that a person actually does not have a disease is 15%. 1. What is the probability that a person actually has the disease given that the test result is positive? 2. What is the probability that a person actually does not have the disease given that the test result is positive?

Suppose 5% of the population in Barangy Nara have a disease. Now, there is a diagnostic technique to detect the disease but it is not very accurate. In historical evidence, it shows that if a person actually has a disease, the probability that the test will be positive is 90%. Assume that the probability that a person’s test are positive given that a person actually does not have a disease is 15%. 1. What is the probability that a person actually has the disease given that the test result is positive? 2. What is the probability that a person actually does not have the disease given that the 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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