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The
Poisson Distribution
is a discrete distribution. It is often used as a model
for the number of events (such as the number of telephone calls at a business or the
number of accidents at an intersection) in a specific time period. It is also useful in
ecological studies, e.g., to model the number of prairie dogs found in a square mile
of prairie.
Parameters
:
The mean is λ.
The variance is λ.
is the parameter which indicates the average number of events in the given time interval.
Ex.1.
On an average Friday, a waitress gets no tip from 5 customers. Find the probability
that she will get no tip from 7 customers this Friday.
The waitress averages 5 customers that leave no tip on Fridays:
λ
= 5.
Random Variable : The number of customers that leave her no tip this Friday.
We are interested in P(X = 7).
Ex. 2 During a typical football game, a coach can expect 3.2 injuries. Find the probability
that the team will have at most 1 injury in this game.
A coach can expect 3.2 injuries :
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This note was uploaded on 01/06/2011 for the course CHE 6270 taught by Professor Dr.dmitry during the Spring '10 term at University of Florida.
 Spring '10
 Dr.Dmitry
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