A blood test indicates the presence of a particular disease 96% 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 Four 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. Choose the correct answer below OA.. 0.889 OB. 0.95 OC. 0.167 OD. 0.96 IZD
A blood test indicates the presence of a particular disease 96% 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 Four 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. Choose the correct answer below OA.. 0.889 OB. 0.95 OC. 0.167 OD. 0.96 IZD
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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### Understanding Test Accuracy and Probability
A blood test indicates the presence of a particular disease 96% 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. Four 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.
**Choose the correct answer below:**
- A. 0.889
- B. 0.95
- C. 0.167
- D. 0.96
### Explanation:
This problem is related to conditional probability and involves calculating the probability of having the disease given a positive test result. To solve this, you would use Bayes' Theorem, which is a key concept in statistics for such problems.
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