Question

Suppose you live in a city where 10% of the population has had Coronavirus. There is...

Suppose you live in a city where 10% of the population has had Coronavirus. There

is an antibody test that screens to see whether you have had the disease. Like all medical tests,

it is not perfect; the sensitivity is 93.8% and the specificity is 95.6%. [These are real figures for a

particular test.] These numbers refer to the true positive and true negative rate, respectively;

that is, sensitivity is P(positive test | had disease) and specificity is P(negative test | did not have

disease).

a) If you test a randomly selected person in the population, what is the probability they will test

positive?

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