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Suppose that there are 2 tests for cancer and a bunch of people from a hospital...

Suppose that there are 2 tests for cancer and a bunch of people from a hospital are getting tested. They are first getting tested by test 1, and secondly, by test 2. The two tests are based on entirely different principles, and lab 2 is not informed of the results of the tests from Lab 1.

  1. Suppose that someone has cancer. Suppose that 90% of those with cancer test positive at Lab 1 and 80% of those with cancer test positive at Lab 2. What is the probability that the person will test positive at both tests? If you think it is not possible to find this probability, give a reason. If you think it is possible, give your reasoning.

  2. Suppose now, that instead of the information given in Part 1, all you are told is that 90% of the people test positive at Lab 1 and 80% of the people test positive at Lab 2. What is the probability that a randomly selected person from the hospital will test positive at both tests? If you think it is not possible to find this probability give a reason. If you think it is possible, give your reasoning.

Math   Statistics-And-Probability   
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