The Poisson Probability Distribution
If In a binomial experiment you are interested in finding the probability of a
specific number of occurrences takes place within a given specified interval
(usually time or space), you can use the Poisson distribution. For instance, the
probability that an employee will take 15 sick days within a year, you can use the
Poisson
distribution.
Definition
:
The
Poisson distribution
is a discrete probability distribution of a random variable
x
that satisfies the following conditions.
1.
The experiment consists of counting the number of times,
x
, an event
occurs in a given interval.
The interval can be an interval of time, area, or
volume.
2.
The probability of two or more success in any sufficiently small subinterval
is 0.
For example, the fixed interval might be any time between 0 and 5
minutes.
A subinterval could be any time between 1 and 2 minutes.
3.
The probability of the event occurring is the same for any two intervals of
equal length.
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 Spring '10
 Driscoll
 Statistics, Binomial, Poisson Distribution, Probability, Probability theory, 5 minutes, 2 minutes

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