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Just a note

Notice that the greater the value of k the closer this distribution approximates a Poisson distribution with mean m. In other words such distributions are relatively symmetrical - although none of them have a variance less than their mean.

For distributions with small k-values, there appears to be a second mode of very high values. However, this is simply the result of pooling all values to the right into a single group. In other words, these distributions are highly skewed.