Suppose that one person in 1,000 has a particular disease for which there is a fairly accurate diagnostic test. This test is correct 98% of the time when given to a person selected at random who is a sufferer; it is correct 97% of the time when given to a person selected at random who is a non-sufferer. Calculate the following probabilities: (a) that, given a positive result, the person is a sufferer; (b) that, given a negative result, the person is a non-sufferer.

Q: Find the probability that exactly 7 of the 10 claims are made by males under age 25.

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