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A medical test is positive (indicates the disease is present) with probability 0.98 for a certain disease when it is, in fact, present in the individual being tested. Among members of the population who do not have the disease, the test is negative (indicates the disease is not present) with probability 0.96. The probability a randomly selected individual from the population has the disease is 0.015.

(a) What is the probability that a randomly selected individual from this population will test positive for the disease?

(b) If a randomly selected individual does test positive, what is the probability the individual actually has the disease?

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