Question: Probability, Bayes’ Theorem: A Covid-19 test produces false negatives 2% of the time and false positive 5% of the time. 10% of a city has the virus. Answer the following questions: If a person test negative, what is the probability that the person carries the virus? What is the probability that a person carrying the virus tests negative three times in a row through independent tests? What is the probability that someone who tests negative twice in a row of independent tests is a healthy person?

Question: Probability, Bayes’ Theorem: A Covid-19 test produces false negatives 2% of the time and false positive 5% of the time. 10% of a city has the virus. Answer the following questions: If a person test negative, what is the probability that the person carries the virus? What is the probability that a person carrying the virus tests negative three times in a row through independent tests? What is the probability that someone who tests negative twice in a row of independent tests is a healthy person?

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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Question: Probability, Bayes’ Theorem: A Covid-19 test produces false negatives 2% of the time and false positive 5% of the time. 10% of a city has the virus. Answer the following questions:

If a person test negative, what is the probability that the person carries the virus?
What is the probability that a person carrying the virus tests negative three times in a row through independent tests?
What is the probability that someone who tests negative twice in a row of independent tests is a healthy person?
Considering that the test has low false negative and false positive rates, please reflect on the results you obtained in parts (i) and (ii).

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