The test returns a positive result in 95% of the cases in which a disease is present, and it returns a positive result in 6% of the cases in which the disease is not present. Furthermore, 1% of the entire population has this disease. Calculate the probability of carrying the disease if the test result is positive.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
icon
Related questions
Topic Video
Question
100%
I need Hand written solution
(b) The test returns a positive result in 95% of the cases in which a disease is present, and it
returns a positive result in 6% of the cases in which the disease is not present.
Furthermore, 1% of the entire population has this disease. Calculate the probability of
carrying the disease if the test result is positive.
Transcribed Image Text:(b) The test returns a positive result in 95% of the cases in which a disease is present, and it returns a positive result in 6% of the cases in which the disease is not present. Furthermore, 1% of the entire population has this disease. Calculate the probability of carrying the disease if the test result is positive.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Research Design Formulation
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.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL