A girl is concerned she might have a disease that affects 1% of the population. Luckily,...

80.2K

Verified Solution

Question

Basic Math

A girl is concerned she might have a disease that affects 1%of the population. Luckily, a drug-store test is available. Thetest has a false-positive rate of 3% and a false-negative rate of1% (a false positive is when a person doesnt have the disease, butthe test result is positive).
(a) What is the probability of a positive test result?
(b) The girl takes the test, and it returns positive. Giventhis information, what is the probability that she has thedisease?
(c) The girl is aware that the test is imperfect, so shedecides to take a second test. It also returns positive. Given theresults of both tests, what is the probability that she has thedisease? You may assume that the two test results are conditionallyindependent given her disease status.

Answer & Explanation Solved by verified expert

4.1 Ratings (798 Votes)

Here we are given that P disease 001 Also we are given that P positive no disease 003 and P negative disease 001 a P positive P positive no disease P no disease P positive disease P disease See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member