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Suppose 1% of a given population have a certain genetic defect. For a new gene test,...

  1. Suppose 1% of a given population have a certain genetic defect. For a new gene test, it gives a positive result with 90% probability when an individual does have the genetic defect, and it gives a positive result with 9.6% probability when an individual does NOT have the genetic defect.
  1. a. If a person gets a positive test result, what is the probability that he/she actually has the genetic defect?
  1. If a person gets a negative test result, what is the probability that he/she actually has the genetic defect?
  1. Now suppose a person is tested twice and assume the two tests are conducted independently. Suppose both tests give positive results, what is the probability that he/she actually has the genetic defect?
  1. Now suppose a person is tested twice and assume the two tests are conducted independently. Suppose both tests give negative results, what is the probability that he/she actually has the genetic defect?
Math   Statistics-And-Probability   
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Answer #1

Genetic defect. GD

Positive +

NOT the genetic defect NGD

Negative -

NOW

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