40. Perturbations continued. Suppose for convenience in Problem (6.15.39) that the displacementshave a continuous distribution function and finite mean, and that d = 1. Suppose also that you areat the origin originally, and you move to a in the perturbed process. Let LR be the number of pointsformerly on your left that are now on your right, and R₁ the number of points formerly on your rightthat are now on your left. Show that E(LR) = E(RL) if and only if a = μ where is the meandisplacement of a particle.Deduce that if cars enter the start of a long road at the instants of a Poisson process, havingindependent identically distributed velocities, then, if you travel at the average speed, in the long runthe rate at which you are overtaken by other cars equals the rate at which you overtake other cars.

Answered: Image /qna-images/answer/da49b9c9-663b-479d-b613-b2d38c60d1a7.jpg

Answered: 40. Perturbations continued. Suppose…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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