Scott takes a Rapid Antigen Test (or 'RAT') for COVID-19 and gets a positive result. He wants to know the chances that he actually has the virus. He knows the following: - True positive rate: The probability of a positive RAT given that a person actually has COVID, Pr(P|C), is 0.83 - False negative rate: The probability of a negative RAT given that a person does not have COVID, Pr(not P|not C), is 0.88 - Base rate: At present, the rate of COVID in Scott's city is 0.02. Given this information, what is the probabiltiy that Scott has COVID, given that his RAT tested positive? Round your answer to two decimal places.

Scott takes a Rapid Antigen Test (or 'RAT') for COVID-19 and gets a positive result. He wants to know the chances that he actually has the virus. He knows the following: - True positive rate: The probability of a positive RAT given that a person actually has COVID, Pr(P|C), is 0.83 - False negative rate: The probability of a negative RAT given that a person does not have COVID, Pr(not P|not C), is 0.88 - Base rate: At present, the rate of COVID in Scott's city is 0.02. Given this information, what is the probabiltiy that Scott has COVID, given that his RAT tested positive? Round your answer to two decimal places.

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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