A company is trialling a new COVID test. They find that the probabil-ity that the test is positive given that the patien

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answerhappygod
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A company is trialling a new COVID test. They find that the probabil-ity that the test is positive given that the patien

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A company is trialling a new COVID test. They find that the
probabil-ity that the test is positive given that the patient does
have COVID is0.94, whereas the probability that the test is
positive given that theydon’t have COVID is 0.03. In each case give
answers to 4 decimalplaces.
(a) Suppose the test is used in a population where it is
estimatedthat 4% of people tested have COVID. What is the
probabilityof a test being negative?
(b) In the same population as above, what is the probability
thatsomeone does not have COVID if the test is negative?
(c) Now the test is used in a population with an unknown
infectionrate. If 10% of this population tests positive, what
percent of thepopulation is likely to actually have COVID?
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