One out of every one- thousand people have disease X. A new test for X is available, but it's not very accurate. If you have X, there is an 80% chance the test comes back positive and a 20% chance it comes back negative. If you don't have X, there is a 60% chance the test comes back negative and a 40% chance it comes back positive. Question: You are randomly chosen to be tested for X. Since the test is not very accurate, you are administered the test 10 times; assume the outcomes of these 10 tests are independent. Seven out of the 10 tests come back positive. Given these test results, what is the probability you have X?

One out of every one- thousand people have disease X. A new test for X is available, but it's not very accurate. If you have X, there is an 80% chance the test comes back positive and a 20% chance it comes back negative. If you don't have X, there is a 60% chance the test comes back negative and a 40% chance it comes back positive. Question: You are randomly chosen to be tested for X. Since the test is not very accurate, you are administered the test 10 times; assume the outcomes of these 10 tests are independent. Seven out of the 10 tests come back positive. Given these test results, what is the probability you have 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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