The number of molecules that a gas contains can be described by a Poisson process with rate

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The number of molecules that a gas contains can be described by a Poisson process with rate ????, so that in an area of ???? units the expected number of molecules is ????????.

Find the probability that a specific molecule

(i) has a distance from its closest molecule less than a fixed positive number ????;

(ii) has a distance from its second closest molecule greater than ????.

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Related Book For  book-img-for-question

Introduction To Probability Volume 2

ISBN: 9781118123331

1st Edition

Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis

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