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It is estimated that 14% of Canadians have COVID-19. A study found that one type of rapid antigen test (RAT) could correctly detect COVID-19 in

It is estimated that 14% of Canadians have COVID-19. A study found that one type of rapid antigen test (RAT) could correctly detect COVID-19 in 79% of people who have the virus. The same RAT correctly gave a negative result in 97% of people who did not have the virus. (3 marks)

  1. If a randomly selected RAT test is positive, what is the probability that the person who took the RAT test has COVID-19?
  2. If a randomly selected RAT test is negative, what is the probability that the person who took the RAT test has COVID-19?

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