Statistics, Poisson processes.

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SUMMARY

This discussion centers on the challenges faced in solving homework problems related to Poisson processes, specifically questions 1.B, 1.C, 2.B, and 2.C. A participant expresses confusion regarding the computation of the probability P[N(2)-N(1)=5|N(1)=5], which is deemed incorrect due to a misunderstanding of the fundamental properties of Poisson processes. The conversation emphasizes the importance of grasping these properties to accurately solve related problems.

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Students studying statistics, particularly those tackling problems involving Poisson processes, as well as educators seeking to clarify these concepts for their students.

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Homework Statement



statok.jpg


Homework Equations



The Attempt at a Solution



Here's what I've tried so far, not really sure how to go on with these problems. Been reading the textbook up and down on Poisson processes!

Any hints or help? Especially 1.B, 1.C and 2.B, 2.C

1a.png

2a.jpg
 
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dreamspace said:

Homework Statement



statok.jpg


Homework Equations



The Attempt at a Solution



Here's what I've tried so far, not really sure how to go on with these problems. Been reading the textbook up and down on Poisson processes!

Any hints or help? Especially 1.B, 1.C and 2.B, 2.C

1a.png

2a.jpg

Your computation of P[N(2)-N(1)=5|N(1)=5] makes no sense (and gives a wrong answer as well). Think about the fundamental properties of a Poisson process.

RGV
 

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