A test to determine whether a certain antibody is present is 99.1% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.1% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.009. Suppose the test is given to six randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all six people? (b) What is the probability that the test comes back positive for at least one of the six people? (a) P(all 6 tests are negative) = (Round to four decimal places as needed.) %3D (b) P(at least one positive) = (Round to four decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
icon
Related questions
Topic Video
Question
100%
A test to determine whether a certain antibody is present is 99.1% effective. This means that the test will accurately come back negative if the antibody is not present (in the test
subject) 99.1% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.009. Suppose the test is given to six randomly
selected people who do not have the antibody.
(a) What is the probability that the test comes back negative for all six people?
(b) What is the probability that the test comes back positive for at least one of the six people?
(a) P(all 6 tests are negative) = (Round to four decimal places as needed.)
%3D
(b) P(at least one positive) =
(Round to four decimal places as needed.)
Transcribed Image Text:A test to determine whether a certain antibody is present is 99.1% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.1% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.009. Suppose the test is given to six randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all six people? (b) What is the probability that the test comes back positive for at least one of the six people? (a) P(all 6 tests are negative) = (Round to four decimal places as needed.) %3D (b) P(at least one positive) = (Round to four decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
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
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
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