Poisson Distribution

Though this article tackles Poisson distribution, a type of discrete probability distribution, it is rather focused on practical questions how to use matplotlib to construct graphs of that distribution.

Numpy offers three parameters that effect graphical appearance:

parameter	meaning	usage
mu	shape parameter	essential, to construct a probability distribution
loc	origin	optional, the origin of the probability distribution default = 0
size	vector length	optional, size of the one dimensional array of random variables default=0 => no array but a single random variable is returned

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The probability mass function can be written:

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The cumulative probability function can be described by the equation:

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The function of the Numpy parameters can be tested by the following sage cell.

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