Some of the things I've learned every day since Oct 10, 2016
19: Poisson Distribution
October 29, 2016Posted by on
The distribution of a discrete random variable is considered a Poisson Distribution if, given an event an given interval (which can be thought of a number of chances is given to occur), the probability of occurring exactly times on that size interval is given by
where is the known average of occurrences given an identical interval.
[Restrictions: events must occur independently, and no more than one instance of an event can happen at a single point in the interval.]
A couple nice properties of Poisson-distributed random variables are that the expected value and variance are both equal to .