As reported in 2010, Hawaii is the state with the highest rate of tuberculosis (TB), at 8.8 casesper 100,000 population, 1 for a probability of 0.000088. A relatively new, rapid TB test has asensitivity of 0.98, meaning that's the probability of the test detecting TB in a patient who hasTB, so only 0.02 of the people with TB end up with a false negative test result. 2 The falsepositive rate for this test (which is the probability of a positive test given that the person doesn'thave TB) is 0.008.Use this information and the Bayes' Theorem equation to calculate what the probability is of aperson living in Hawaii not having TB, given that the person had a positive test result whengiven this TB test.P(A|B) = P(A)*P(B|A)P(A)*P(B|A}+P(A)*P(B|A)where A= Event "not A." |

Sensitivity of a test can be define as the percentage of cases in which the test result is positive,…

Answered: As reported in 2010, Hawaii is 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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The probability of a randomly selected adult in one country being infected with a certain virus is 0.006. In tests for the virus, blood samples from 13 people are combined What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus. The probability that the combined sample will test positive is (Round to three decimal places as needed.)
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