The dreaded disease brainfreezitis afflicts 2% of actuarial students taking an exam. Two tests are developed to detect this affliction. Test 1 gives positive results 98% of the time for an afflicted person and 4% of the time for a non-afflicted person. Test 2 gives positive results 99% of the time for an afflicted person and 6% of the time for a non-afflicted person. Given an afflicted person, the outcome of each test is conditionally independent of the other test; likewise for a non-afflicted person. If a randomly selected student tests positive with both tests, what is the probability that student actually has brainfreezitis?
The dreaded disease brainfreezitis afflicts 2% of actuarial students taking an exam. Two tests are developed to detect this affliction. Test 1 gives positive results 98% of the time for an afflicted person and 4% of the time for a non-afflicted person. Test 2 gives positive results 99% of the time for an afflicted person and 6% of the time for a non-afflicted person. Given an afflicted person, the outcome of each test is conditionally independent of the other test; likewise for a non-afflicted person. If a randomly selected student tests positive with both tests, what is the probability that student actually has brainfreezitis?
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...
Related questions
Question
The dreaded disease brainfreezitis afflicts 2% of actuarial students taking an exam. Two tests are developed to detect this affliction. Test 1 gives positive results 98% of the time for an afflicted person and 4% of the time for a non-afflicted person. Test 2 gives positive results 99% of the time for an afflicted person and 6% of the time for a non-afflicted person. Given an afflicted person, the outcome of each test is conditionally independent of the other test; likewise for a non-afflicted person.
If a randomly selected student tests positive with both tests, what is the
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)