POS count and Poison Distribution…

Today in the Probability models class we learned about Poison Process and its use for counting instances in a particular period / time. It says that if a process follows a poison distribution then for any two time periods of the same length, the number of instances or occurrences of the event are same. This kind of triggered a small question in my mind, do the Parts of Speech used in sentences also follow this distribution? If we count number of verbs that occur in say a fixed word window, then *if* they follow Poison distribution then will they be the same? Can this be modelled over Poison distribution?

Now, I am yet to learn the properties of a Poison process and that may help clear this thought. But this is something nice to think about on the weekend. (As if I have nothing to think about ;-) …)

Well I talked with my statistics professor and he said we will discuss it on Monday. So I am looking forward to that.