Testing for a disease can be made more efficient by combining samples. If the samples from four people are combined and the mixture tests negative, then all four samples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.2, find the probability of a positive result for four samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is (Round to three decimal places as needed.) Is the probability low enough so that further testing of the individual samples is rarely necessary? O A. The probability is not low, so further testing of the individual samples will frequently be a necessary event. B. The probability is low, so further testing will be necessary for all of the combined mixtures. C. The probability is low, so further testing of the individual samples will be a rarely necessary event. D. The probability is not low, so further testing will not be necessary for any of the mixtures.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question
Testing for a disease can be made more efficient by combining samples. If the samples from four people are combined
and the mixture tests negative, then all four samples are negative. On the other hand, one positive sample will always
test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing
positive is 0.2, find the probability of a positive result for four samples combined into one mixture. Is the probability low
enough so that further testing of the individual samples is rarely necessary?
The probability of a positive test result is
(Round to three decimal places as needed.)
Is the probability low enough so that further testing of the individual samples is rarely necessary?
A. The probability is not low, so further testing of the individual samples will frequently be a necessary event.
B. The probability is low, so further testing will be necessary for all of the combined mixtures.
C. The probability is low, so further testing of the individual samples will be a rarely necessary event.
D. The probability is not low, so further testing will not be necessary for any of the mixtures.
Transcribed Image Text:Testing for a disease can be made more efficient by combining samples. If the samples from four people are combined and the mixture tests negative, then all four samples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.2, find the probability of a positive result for four samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is (Round to three decimal places as needed.) Is the probability low enough so that further testing of the individual samples is rarely necessary? A. The probability is not low, so further testing of the individual samples will frequently be a necessary event. B. The probability is low, so further testing will be necessary for all of the combined mixtures. C. The probability is low, so further testing of the individual samples will be a rarely necessary event. D. The probability is not low, so further testing will not be necessary for any of the mixtures.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
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.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman