A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 80% of the time when the person has the virus and 5% of the time when the person does not have the virus. (This 5% result is called a false positive.) Let A be the event "the person isinfected" and B be the event "the person tests positive."(a) Using Bayes' Theorem, when a person tests positive, determine the probability that the person is infected.(b) Using Bayes' Theorem, when a person tests negative, determine the probability that the person is not infected.i Click the icon to the right to review Bayes' Theorem.

Given that P(A) = 1/200 = 0.005, P(A') = 1 - 0.005 = 0.995 P(B|A) = 0.80 and P(B|A') = 0.05 Then…

Answered: (a) Using Bayes' Theorem, when a person…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(a) Using Bayes' Theorem, when a person tests positive, determine the probability that the person is infected. (b) Using Bayes' Theorem, when a person tests negative, determine the probability that the person is not infected.