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Mathematics

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(1 point) Early in 2020, in a random sample of 200 people who suspected that they have COVID, 100 turned out to have COVID. A new rapid test given to these 200 people turned positive in 95 of the 100 people who had COVID, and turned positive in 8 of the 100 who did not have COVID.

(a) If a person suspects they have COVID and this test indicates they have COVID, what is the probability that they have COVID?

(b) If the test indicates the person does not have COVID, what is the probability that the test taker does not have COVID?

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