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A certain virus infects one in every 600 people. A test used to detect the virus in a person is positive 90% of the time

A certain virus infects one in every 600 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 10% of the time if the person does not have the virus.Give your answer as a decimal to 4 decimal places.

(a) Find the probability that a person has the virus given that they have tested positive.

(b) Find the probability that a person does not have the virus given that they have tested negative.

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