A diagnostic test for disease X correctly identifies the disease 90% of the time. False positives occur 8%. It is estimated that 2.24% of the polulationsuffers 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 =

A diagnostic test for disease X correctly identifies the disease 90% of the time. False positives occur 8%. It is estimated that 2.24% of the polulationsuffers 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 =

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 medical test is used to detect a particular disease. Suppose that 0.2% of the population has the disease. If a person has the disease, there is a 97% chance that the test result will be positive. if the person is healthy, there is a 4% chance thatr the test result will be positive. Given that a person is selected at random and the test indicates a positive result, what is the probability that the person selected has the disease?
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