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In a population presenting for testing at a particular neurology clinic, 5% will later develop Huntington's disease. There are two tests used at the clinic. Test 1 identifies 5% of those tested as likely to develop Huntington's disease, whereas test 2 identifies 6% as likely. Both tests are imperfect and give false positive and false negative results.
a) What probabilities (joint, marginal or conditional) are reported in the above text? STA1010
b) Given that test 2 produces three times more false positives than test 1 but a third as many false negatives, find the false positive and false negative rates for both tests.
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