A PCR test is commonly used for diagnosing a viral infection. It has a false positive rate (indicating infection where there is none) of 5% and a false negative rate of 25 %. Patients take two tests and if either is positive then an infection is declared. If the actual incidence of the infection is currently two hundred in a hundred thousand, what is the probability that: i) Someone who is declared virus - negative is in fact infected? ii) One or more of ten people tested and allowed on a flight are in fact infected despite screening negative for the virus?

A PCR test is commonly used for diagnosing a viral infection. It has a false positive rate (indicating infection where there is none) of 5% and a false negative rate of 25 %. Patients take two tests and if either is positive then an infection is declared. If the actual incidence of the infection is currently two hundred in a hundred thousand, what is the probability that: i) Someone who is declared virus - negative is in fact infected? ii) One or more of ten people tested and allowed on a flight are in fact infected despite screening negative for the virus?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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