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A diagnostic test for disease X correctly identifies the disease 94% of the time. False positives occur 12%. It is estimated that 3.95% of the

A diagnostic test for disease X correctly identifies the disease 94% of the time. False positives occur 12%. It is estimated that 3.95% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.)

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