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A diagnostic test for disease X correctly identifies the disease 95% of the time. False positives occur 10%. It is estimated that 3.82% of the

A diagnostic test for disease X correctly identifies the disease 95% of the time. False positives occur 10%. It is estimated that 3.82% 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.)

he percentage chance that, given a negative result, the person does not have disease X =

The percentage chance that, the person will be misclassified =

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