STAT 302 Chapter Notes - Chapter 5.0: Random Variable, Binomial Distribution
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Poisson distribution is essentially defined by one parameter which is mew . Now is essentially the average number of events occurring over a time period, or over a space, basically any unit of measurement so the number of times i eat during the day is 3, so . = 3, if it were a month then = 90. So, a poisson random variable, is a discrete random variable, that has probability which can be defined. Note that the value of has to be greater than 0, because otherwise the probability for all numbers will be 0, which doesn"t make sense. Now as a check, if the sum of the probability for all x"s = 1, then this formulae would make sense. Basically what you do is that you repeat the other formula for values of k from 0 to infinity. Note that we are using infinity here, as there really is no limit to the amount for.
