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

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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 patie

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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 Patie 1
A Company Is Trialling A New Covid Test They Find That The Probabil Ity That The Test Is Positive Given That The Patie 1 (83.99 KiB) Viewed 79 times
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 is 0.94, whereas the probability that the test is positive given that they don't have COVID is 0.03. In each case give answers to 4 decimal places. (a) Suppose the test is used in a population where it is estimated that 4% of people tested have COVID. What is the probability of a test being negative? (b) In the same population as above, what is the probability that someone does not have COVID if the test is negative? (c) Now the test is used in a population with an unknown infection rate. If 10% of this population tests positive, what percent of the population is likely to actually have COVID?
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