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 exponentially distributed with same parameter 2.
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 exponentially distributed with same parameter 2.
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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Transcribed Image Text: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 2.
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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