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Math Help - Discrete Prob

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    Discrete Prob

    This question was on my first probability test and I got the first part wrong. Therefore, could someone show me how to do it?

    One half percent of the population has a particular disease. A test is developed for the disease. The test gives false positives 3% of the time and a false negative 2% of the time.
    What is the probability that Joe tests positive?

    I put 98% but that is wrong.
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  2. #2
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    Quote Originally Posted by dwsmith View Post
    One half percent of the population has a particular disease. A test is developed for the disease. The test gives false positives 3% of the time and a false negative 2% of the time.
    What is the probability that Joe tests positive?
    P(+)=P(+D)+P(+D^c)=P(+|D)P(D)+P(+|D^c)P(D^c)
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