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Let's assume that the prevalence (i.e., the proportion of infected people) of COVID-19 in a particular area is 5%. Tests are randomly administered in this

Let's assume that the "prevalence" (i.e., the proportion of infected people) of COVID-19 in a particular area is 5%. Tests are randomly administered in this area (i.e., regardless of whether a person is symptomatic or not). The test has a 1% false positive rate and a 4% false negative rate. If a person tests positive, what is the probability that he or she is actually infected with COVID-19?

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