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In group testing for a certain disease, a blood sample was taken from each of n
Chapter 2, Problem 2.4-18(choose chapter or problem)
In group testing for a certain disease, a blood sample was taken from each of n individuals and part of each sample was placed in a common pool. The latter was then tested. If the result was negative, there was no more testing and all n individuals were declared negative with one test. If, however, the combined result was found positive, all individuals were tested, requiring n+1 tests. If p = 0.05 is the probability of a person’s having the disease and n = 5, compute the expected number of tests needed, assuming independence.
Questions & Answers
QUESTION:
In group testing for a certain disease, a blood sample was taken from each of n individuals and part of each sample was placed in a common pool. The latter was then tested. If the result was negative, there was no more testing and all n individuals were declared negative with one test. If, however, the combined result was found positive, all individuals were tested, requiring n+1 tests. If p = 0.05 is the probability of a person’s having the disease and n = 5, compute the expected number of tests needed, assuming independence.
ANSWER:Step 1 of 3
Definition binomial probability:
Complement rule:
