The probability that a person with certain symptoms has hepatitis is 0.7. The blood test used to confirm this diagnosis gives positive results for 95% of people with the disease and 5% of those without the disease. What is the probability that an individual who has the symptoms and who reacts positively to the test actually has hepatitis?

The probability that a person with certain symptoms has hepatitis is 0.7. The blood test used to confirm this diagnosis gives positive results for 95% of people with the disease and 5% of those without the disease. What is the probability that an individual who has the symptoms and who reacts positively to the test actually has hepatitis?

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 laboratory blood test is 95 % effective in detecting a certain disease when it is actually present. However, the test also yields a "false positive" result for 1 % of the healthy persons tested. If .5 % of the population actually has the disease, what is the probability a person has the disease given the test result is positive.
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To diagnose colorectal cancer, the hemoccult test is conducted to detect occult blood in the stool. For symptom-free people over 50 years old who participate in screening using the hemoccult test, the following information is available. The probability that one of these people has colorectal cancer is 0.3 percent. If a person has colorectal cancer, the probability is 50 percent that he will have a positive hemoccult test. If a person does not have colorectal cancer, the probability is 3 percent that he will still have a positive hemoccult test. Imagine a person (over age 50, no symptoms) who has a positive hemoccult test in your screening. Your assignment is to use this hemoccult test scenario as an example to communicate the nature of a medical test to a lay person. (Think of a family member or a friend who is not familiar with statistics.) You need to incorporate three elements in your essay: Identify the base rate (or prevalence in medical literature), sensitivity (the…
To diagnose colorectal cancer, the hemoccult test is conducted to detect occult blood in the stool. For symptom-free people over 50 years old who participate in screening using the hemoccult test, the following information is available. The probability that one of these people has colorectal cancer is 0.3 percent. If a person has colorectal cancer, the probability is 50 percent that he will have a positive hemoccult test. If a person does not have colorectal cancer, the probability is 3 percent that he will still have a positive hemoccult test. Imagine a person (over age 50, no symptoms) who has a positive hemoccult test in your screening. What is the probability that this person actually has colorectal cancer?”
please help me, i dont know how to do it so please make answer clear !