A rare disease exists with which only 2 in 1000 is affected. There is a test for the disease that a correct positive result (patient actually has the disease) occurs 95% of the time while a false positive result (patient does not have the disease) occurs 1% of the time. a) What is the prior distribution of the disease

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...
icon
Related questions
Topic Video
Question

R3

A rare disease exists with which only 2 in
1000 is affected. There is a test for the disease
that a correct positive result (patient actually
has the disease) occurs 95% of the time while
a false positive result (patient does not have
the disease) occurs 1% of the time.
a) What is the prior distribution of the disease
and the posterior distribution of the disease
given the positive result?
b) Is the test good? Explain that counter-
intuitive result.
Transcribed Image Text:A rare disease exists with which only 2 in 1000 is affected. There is a test for the disease that a correct positive result (patient actually has the disease) occurs 95% of the time while a false positive result (patient does not have the disease) occurs 1% of the time. a) What is the prior distribution of the disease and the posterior distribution of the disease given the positive result? b) Is the test good? Explain that counter- intuitive result.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON