The percentage chance that the test will be positive = The probability that, given a positive result, the person has disease X =

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A diagnostic test for disease X correctly identifies the disease 90% of the time. False positives occur 8%. It is estimated that 5.41% 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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