Social distancing is an important measure to prevent the spread of COVID19. Assume that the chance, denoted by r, that a healthy person gets infected by a virus carrier who is L metres away is modelled by r = exp{−L^2/γ^2}, where γ > 0. a. Following the Government’s two metre social distancing guidance, we assume that the distance between the location of the virus carrier and the expected location of the healthy person is 2 metres. Find the value of γ such that the maximum expected chance that the healthy person gets infected is 10%. b. Discuss and justify at least two limitations of the specified model for r.

Social distancing is an important measure to prevent the spread of COVID19. Assume that the chance, denoted by r, that a healthy person gets infected by a virus carrier who is L metres away is modelled by r = exp{−L^2/γ^2}, where γ > 0. a. Following the Government’s two metre social distancing guidance, we assume that the distance between the location of the virus carrier and the expected location of the healthy person is 2 metres. Find the value of γ such that the maximum expected chance that the healthy person gets infected is 10%. b. Discuss and justify at least two limitations of the specified model for r.

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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