a) If four people are tested for the disease, what is the probability that at least three of them receive accurate test results? b) In an area where q = 5% of people are infected, a man’s test result is positive. What is probability that it is a false positive

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
icon
Related questions
Question

Let's say that a certain reagent is created to test for an infectious disease. The test has an accuracy rate of p = 90%, and the accuracy does not depend on whether or not the patient is actually infected.

a) If four people are tested for the disease, what is the probability that at least
three of them receive accurate test results?

b) In an area where q = 5% of people are infected, a man’s test result is
positive. What is probability that it is a false positive (which means that he is not
infected but the test is positive due to inaccuracy)?

*please do a-b and either type or write you work and answers on paper* thank you! 

Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning