a) Suppose that people arrive at a bus stop in accordance with a Poisson process with rate 2. The bus departs at time 1. Let x denote the total amount of waiting time of all those that get on the bust at time 1. We want to determine Var (X ). Let N (1) denote the number of arrivals by time 1. i) What is E[X | N (1)] ? ii) Argue that Var [X | N (1)] = N (t)t² /12 . iii) What is Var (X ) ?

a) Suppose that people arrive at a bus stop in accordance with a Poisson process with rate 2. The bus departs at time 1. Let x denote the total amount of waiting time of all those that get on the bust at time 1. We want to determine Var (X ). Let N (1) denote the number of arrivals by time 1. i) What is E[X | N (1)] ? ii) Argue that Var [X | N (1)] = N (t)t² /12 . iii) What is Var (X ) ?

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Description: Please answer this. Upvote is guaranteed. Suppose that people arrive at a bus stop in accordance with a Poisson process with rate2. The bus departs at time t. Let x denote the total amount of waiting time of allthose that get on the bust at time t. W

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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