(d) A large number N of people are subjected to a blood investigation. This investigation can be organized in two ways. (1) The blood of each person is investigated separately. In this case N analyses are needed. (2) The blood of k people are mixed and the mixture is analysed. If the result is negative, then this single analysis is sufficient for k But if it is positive, then the blood of each one must be subsequently investigated separately, and in toto for k people, k+1 analysis are needed. It is assumed that the probability of a positive result (p) is the same for all people and that the results of the analysis are independent in the probabilistic sense. persons. • What is the probability that the analysis of the mixed blood of k people is positive?
(d) A large number N of people are subjected to a blood investigation. This investigation can be organized in two ways. (1) The blood of each person is investigated separately. In this case N analyses are needed. (2) The blood of k people are mixed and the mixture is analysed. If the result is negative, then this single analysis is sufficient for k But if it is positive, then the blood of each one must be subsequently investigated separately, and in toto for k people, k+1 analysis are needed. It is assumed that the probability of a positive result (p) is the same for all people and that the results of the analysis are independent in the probabilistic sense. persons. • What is the probability that the analysis of the mixed blood of k people is positive?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:(d) A large number N of people are subjected to a blood investigation. This investigation can be organized in two
ways. (1) The blood of each person is investigated separately. In this case N analyses are needed. (2) The blood of k
people are mixed and the mixture is analysed. If the result is negative, then this single analysis is sufficient for k persons.
But if it is positive, then the blood of each one must be subsequently investigated separately, and in toto for k people,
k+1 analysis are needed. It is assumed that the probability of a positive result (p) is the same for all people and that the
results of the analysis are independent in the probabilistic sense.
• What is the probability that the analysis of the mixed blood of k people is positive?
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