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Consider two medical tests, A and B, for a virus. Test A is 95% effective at recognizing the virus when it is present, but has

Consider two medical tests, A and B, for a virus. Test A is 95% effective at recognizing the virus when it is present, but has a 10% false positive rate (indicating that the virus is present, when it is not). Test B is 90% effective at recognizing the virus, but has a 5% false positive rate. The two tests use independent methods of identifying the virus. The virus is carried by 1% of all people. Say that a person is tested for the virus using only one of the tests, and that test comes back positive for carrying the virus.

  • Which test returning positive is more indicative of someone really carrying the virus?
  • Justify your answer mathematically.
  • Provide the AI model for the problem.

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