To determine whether or not they have a certain disease, 104 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 13. The blood samples of the 13 people in each group will be pooled and analyzed together. If the test is negative, one test will suffice for the 13 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the desease); whereas, if the test is positive each of the 13 people will also be individually tested and, in all, 14 tests will be made on this group. Assume the probability that a person has the desease is 0.06 for all people, independently of each other, and compute the expected number of tests necessary for the entire group of 104 people. answer: 1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
icon
Related questions
Question
To determine whether or not they have a certain disease, 104 people are to have their
blood tested. However, rather than testing each individual separately, it has been
decided first to group the people in groups of 13. The blood samples of the 13
people in each group will be pooled and analyzed together. If the test is negative, one
test will suffice for the 13 people (we are assuming that the pooled test will be
positive if and only if at least one person in the pool has the desease); whereas, if the
test is positive each of the 13 people will also be individually tested and, in all, 14
tests will be made on this group. Assume the probability that a person has the
desease is 0.06 for all people, independently of each other, and compute the
expected number of tests necessary for the entire group of 104 people.
answer:
1
Transcribed Image Text:To determine whether or not they have a certain disease, 104 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 13. The blood samples of the 13 people in each group will be pooled and analyzed together. If the test is negative, one test will suffice for the 13 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the desease); whereas, if the test is positive each of the 13 people will also be individually tested and, in all, 14 tests will be made on this group. Assume the probability that a person has the desease is 0.06 for all people, independently of each other, and compute the expected number of tests necessary for the entire group of 104 people. answer: 1
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
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
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage