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A diagnostic test for disease X correctly identifies the disease 91% of the time. False positives occur 14%. It is estimated that 5.53% of the

A diagnostic test for disease X correctly identifies the disease 91% of the time. False positives occur 14%. It is estimated that 5.53% 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.)

The percentage chance that the test will be positive

The probability that, given a positive result, the person has disease X

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