POISSON
Random Variable
![]()
- A Poisson random variable X is defined by its PMF where
- The Expected value of a Poisson Random Variable is:
- Poisson random variables are good for counting things like:
- The number of customers that arrive to a bank in one hour.
- The number of packets that arrive to an IMP in one second.
- A Poisson random variables can approximate the binomial probabilities.
- A Poisson Random Variable is related to the Exponential Random variable.
Related Notes:
- The sum of N independent Poisson random variables with the parameter ai will be another Poisson random variable with the parameter This is called a Reproductive Property.
![]()
RELATED
CONCEPTSRandom Variables Probability Mass Function Cumulative Distribution Function Expectation of a Discrete Random Variable Important Discrete Random Variables ![]()
Copyright © 1998 Rensselaer Polytechnic Institute. All Rights Reserved.