*38. Suppose that people arrive at a bus stop in accordance with a Poisson process with rate...

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*38. Suppose that people arrive at a bus stop in accordance with a Poisson process with rate A. The bus departs at time t. Let X denote the total amount of waiting time of all those that get on the bus at time /.

We want to determine Var {X). Let N(t) denote the number of arrivals by time t.

(a) What is E[X\N(t)]l

(b) Argue that Õééô[×\Í(ß)] = N(t)t2/\2.

(c) What is VarCY)?

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Introduction To Probability Models

ISBN: 9780125984553

5th Edition

Authors: Sheldon M. Ross

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Question Posted: Aug 31, 2024 12:00 PM

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*38. Suppose that people arrive at a bus stop in accordance with a Poisson process with rate...

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Introduction To Probability Models

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