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Suppose that the chance of having COVID-19 is 0.0001. There is an accurate test for COVID-19 that 99% of people with the disease test positive

Suppose that the chance of having COVID-19 is 0.0001. There is an accurate test for COVID-19 that 99% of people with the disease test positive and only 0.2% who do not have the disease test positive.

(a) (8 points) What is the probability that someone who tests positive has COVID-19? Show your derivation.

(b) (4 points) What is the probability that someone who tests negative has COVID-19? Show your derivation.

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a To calculate the probability that someone who tests positive has COVID19 we can use Bayes theorem ... blur-text-image

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