In a population Ω, two diseases D1 and D2 are present in 10% and 20% respectively. It is assumed that the number of those who suffer from both diseases is negligible. We undertake a screening system of D1 and D2 diseases. To do this, we apply a test that works on 90% of D1 patients, on 70% of D2 patients, and in 10% of individuals who have neither of these two conditions. 1. When we randomly choose an individual ω in Ω, what is the probability that the test will work? 2. Knowing that for an individual ω, the test reacted, give the probabilities: a) So that the test reacted because of the D1 disease. b)So that the test reacted because of the D2 disease. c) So that the test reacted when the indiv

In a population Ω, two diseases D1 and D2 are present in 10% and 20% respectively. It is assumed that the number of those who suffer from both diseases is negligible. We undertake a screening system of D1 and D2 diseases. To do this, we apply a test that works on 90% of D1 patients, on 70% of D2 patients, and in 10% of individuals who have neither of these two conditions. 1. When we randomly choose an individual ω in Ω, what is the probability that the test will work? 2. Knowing that for an individual ω, the test reacted, give the probabilities: a) So that the test reacted because of the D1 disease. b)So that the test reacted because of the D2 disease. c) So that the test reacted when the indiv

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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