If a person has a specific disease, then a certain test for the disease is guaranteed to detect it.However, if they don't have that diseases, then the test says they don't have the disease 99% ofthe time (99% accuracy).The test has been administered the results say that the individual has the disease. What is theprobability that the person actually has the disease assuming that the probability of having thedisease regardless of the test results is 1/10000?Respond with a decimal representation rounded to 2 decimals for this probability value.

Let us define some events A : a person has the disease. B : a person does not have the disease. E :…

Answered: The test has been administered the…

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 blood test indicates the presence of a particular disease 98% of the time when the disease is actually present. The same test indicates the presence of the disease 0.5% of the time when the disease is not present. One percent of the population actually has the disease. Calculate the probability that a person has the disease, given that the test indicates the presence of the disease.

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The test has been administered the results say that the individual has the disease. What is the probability that the person actually has the disease assuming that the probability of having the disease regardless of the test results is 1/10000?