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Most computers will have a function that will generate [pseudo] random numbers.

The precise way such numbers are generated is language-dependent and dependent on the library used with that language. For instance, if you were writing simulation code in the Python language using the scipy library then you could obtain five pseudorandom Poisson values in an array from a distribution with parameter 1.2 with the following code.

from scipy.stats import poisson

poisson ( 1.2 ) . rvs ( 5 )

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