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A COVID test for active infections has a “false positive rate” of 5% and a “false...

A COVID test for active infections has a “false positive rate” of 5% and a “false negative rate” of 20%. This means that if a person has an active COVID infection, the test is positive with probability .8, and of a person does not have an active COVID infection, the test is positive with probability .05. Assume that 10% of the population in a specific area has an active COVID infection.

(a) A person takes the test and it is positive. What is the probability this person has COVID?

(b) A person takes the test and it is negative. What is the probability this person has COVID?

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Answer #1

= ( افیستم ) P ۵۰۱۰ هيعمل Plnot could) = 0.g. = ( فيخليط عليقلص plteule negatie) =0.95 y el coud besiluet X۵۰۵وا،ہ olo xorço

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