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
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A diagnostic test for disease X correctly identifies the disease 96% of the time. False positives occur 10%. It is estimated that 1% 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.)

1. The percentage chance that, given a negative result, the person does not have disease X = [______] %

2. The percentage chance that the person will be misclassified = [______] %
Transcribed Image Text:A diagnostic test for disease X correctly identifies the disease 96% of the time. False positives occur 10%. It is estimated that 1% 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.) 1. The percentage chance that, given a negative result, the person does not have disease X = [______] % 2. The percentage chance that the person will be misclassified = [______] %
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