Oliver knows that a virus is relatively virulent and estimates that 15% of the population has the disease. Due to limitations in technology, Oliver cannot develop a testing kit that wrongly predicts a healthy individual to be positive less than 1.5% of the time.   How accurate, in terms of the probability that an infected individual is tested positive, must Oliver get his test kit to, in order to achieve a probability of correctly identifying the disease given that the test is positive of at least 90%?

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%

Oliver knows that a virus is relatively virulent and estimates that 15% of the population has the disease. Due to limitations in technology, Oliver cannot develop a testing kit that wrongly predicts a healthy individual to be positive less than 1.5% of the time.

 

How accurate, in terms of the probability that an infected individual is tested positive, must Oliver get his test kit to, in order to achieve a probability of correctly identifying the disease given that the test is positive of at least 90%? 

Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics 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
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage