The proportion of people in a given community who have Covid-19 infection is 0.005. A test is available to diagnose the disease. If a person has Covid-19, the probability that the test will produce a positive signal is 0.99. If a person does not have the Covid-19, the probability that the test will produce a positive signal is 0.01. a) What is the probability that the test will generate positive signal? b) Which model/rule will best be good for solving the above problem and why? c) Comment on the types of events you see in the problem and name them.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The proportion of people in a given community who have Covid-19 infection is 0.005. A test is available to diagnose the disease. If a person has Covid-19, the probability that the test will produce a positive signal is 0.99. If a person does not have the Covid-19, the probability that the test will produce a positive signal is 0.01.
a) What is the probability that the test will generate positive signal?
b) Which model/rule will best be good for solving the above problem and why?
c) Comment on the types of events you see in the problem
and name them.

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