Poisson Probability Distribution Formula
λ = the mean number of occurrences in the interval
e = approximately 2.71828
x = the number of occurrences we wish to evaluate
Poisson Probability Distribution Conditions1. x is a discrete random variable
2. The occurrences are random
3. The occurrences are independent
Sample Poisson Probability Distribution ProblemA vending machine in an office stops working an average of 3 times per a month. What is the probability that the vending machine will break exactly 2 times in the next month?
In this problem, λ = 3 and x = 2. The answer is .224. The probability of the machine breaking 2 times is .224.