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Fitting Poisson distribution

Aim :

To fit poisson distribution for the arrival of objects per minute from the feeder

Software required :

Python and Visual component tool

Theory:

The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.

image

Conditions for Poisson Distribution:

  1. An event can occur any number of times during a time period.
  2. Events occur independently. I
  3. The rate of occurrence is constant.
  4. The probability of an event occurring is proportional to the length of the time period.

Procedure :

image

Experiment :

image

Program :

Output :

Results

The Poisson distribution is fitted for the objects arrived from feeder per minute and the data is tested using Chi-square test.

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