Prove that -1. The waiting time for a Poisson distribution is Exponentially distributed. i.e.For a Poisson process with parameter 1, the time for a new arrival isexponentially distributed with same parameter 1.2. The waiting time for a Bernoulli process is Geometric.3. An Exponential distribution can be obtained as a limit of a GeometricDistribution.

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Prove that - 1. The waiting time for a Poisson distribution is Exponentially distributed. i.e. For a Poisson process with parameter 2, the time for a new arrival is

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Prove that -
1. The waiting time for a Poisson distribution is Exponentially distributed. i.e.
For a Poisson process with parameter 1, the time for a new arrival is
exponentially distributed with same parameter 1.
2. The waiting time for a Bernoulli process is Geometric.
3. An Exponential distribution can be obtained as a limit of a Geometric
Distribution.

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