The number of burglaries in a city is thought to have a Poisson distribution, and it is

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The number of burglaries in a city is thought to have a Poisson distribution, and it is known that the mean of this distribution is three burglaries per week.

(i) What is the probability that in a given week, there are at most two burglaries?

(ii) Find the probability that in a 40-week period, there are 5 weeks with at most two burglaries in each of them.

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Introduction To Probability Volume 2

ISBN: 9781118123331

1st Edition

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

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