A diagnostic test for disease X correctly identifies the disease 93% of the time . False positives occur 9%. It is estimated that 2.09% of the population suffers from disease X.  Suppose the test is applied to a random individual from the poplulation . compute the following probabilities .( It may help to draw a probability tree) *The percentage chance that , given a negative result , the person does not have disease X =      % *The percentage chance that , the person will be misclassified =    %

A First Course in Probability (10th Edition)
10th Edition
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 93% of the time . False positives occur 9%. It is estimated that 2.09% of the population suffers from disease X. 

Suppose the test is applied to a random individual from the poplulation . compute the following probabilities .( It may help to draw a probability tree)

*The 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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