URGENT PLEASE (d) A large number N of people are subjected to a blood investigation. This investigation can be organized in twoways. (1) The blood of each person is investigated separately. In this case N analyses are needed. (2) The blood of kpeople 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 theresults of the analysis are independent in the probabilistic sense.• For what k is the minimum expected number of necessary analysis attained?

Given : Let N represents negative, P represents positive In a sample of k people, the test comes…

(d) A large number N of people are subjected to a blood investigation. This investigation can be organized in two ays. (1) The blood of each person is investigated separately. In this case N analyses are needed. (2) The blood of k ople are mixed and the mixture is analysed. If the result is negative, then this single analysis is sufficient for k persons. ut if it is positive, then the blood of each one must be subsequently investigated separately, and in toto for k people, +1 analysis are needed. It is assumed that the probability of a positive result (p) is the same for all people and that the sults of the analvsis are independent in the probabilistic sense. • For what k is the minimum expected number of necessary analysis attained?

(d) A large number N of people are subjected to a blood investigation. This investigation can be organized in two ays. (1) The blood of each person is investigated separately. In this case N analyses are needed. (2) The blood of k ople are mixed and the mixture is analysed. If the result is negative, then this single analysis is sufficient for k persons. ut if it is positive, then the blood of each one must be subsequently investigated separately, and in toto for k people, +1 analysis are needed. It is assumed that the probability of a positive result (p) is the same for all people and that the sults of the analvsis are independent in the probabilistic sense. • For what k is the minimum expected number of necessary analysis attained?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...

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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 theresults 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?• What is the expectation of the number of analysis necessary in the second method of testing?• For what k is the minimum expected number of necessary analysis attained?
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