A certain virus infects one in every 40 people. A test used to detect the virus in a person is positive 80% of the time if the person has the virus and 5% of the time if the person does not have the virus. (This 5% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive". a) Find the probability that a person has the virus and they have tested positive, i.e.find P(A and B). P(A and B) = b) Find the probability that a person has the virus given that they have tested positive, i.e. find P(A/B). P(A/B)= Question Help: Video Submit Question

A certain virus infects one in every 40 people. A test used to detect the virus in a person is positive 80% of the time if the person has the virus and 5% of the time if the person does not have the virus. (This 5% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive". a) Find the probability that a person has the virus and they have tested positive, i.e.find P(A and B). P(A and B) = b) Find the probability that a person has the virus given that they have tested positive, i.e. find P(A/B). P(A/B)= Question Help: Video Submit Question

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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