According to the statistics, among the students coming back from UK and USA, 1% are infected by COVID-19. They all take the saliva test with accuracy 99%. Suppose a particular student's saliva test is negative. A layman makes the following interpretation. The proba- bility that the student is infected in the first place is 0.01 (i.e., 1%). Since the test independently indicates that he is not infected and the error probability of the test is 0.01 (i.e., 1%), the actual probability of the student being infected is 0.01 × 0.01 = 0.01%. Comment on his interpretation.

According to the statistics, among the students coming back from UK and USA, 1% are infected by COVID-19. They all take the saliva test with accuracy 99%. Suppose a particular student's saliva test is negative. A layman makes the following interpretation. The proba- bility that the student is infected in the first place is 0.01 (i.e., 1%). Since the test independently indicates that he is not infected and the error probability of the test is 0.01 (i.e., 1%), the actual probability of the student being infected is 0.01 × 0.01 = 0.01%. Comment on his interpretation.

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Description: According to the statistics, among the students coming back from UKand USA, 1% are infected by COVID-19. They all take the salivatest with accuracy 99%. Suppose a particular student's saliva test isnegative. A layman makes the following interpretati

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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