Poisson Distribution The pdf of the Poisson distribution is the following:
{"Image DocumentName": "Poisson DistributionThe pdf of the Poisson distribution is the following:", "Image ImageDescription": "The parameter l is equal to a t, where a is the intensity of the process the average number of events per time unit and t is the number of time units in question. In a spatial Poisson process a represents the average number of events per unit of space and t represents the number of spatial units in question. For example, the number of vehicles crossing a bridge in a rural area might be modeled as a Poisson process. If the average number of vehicles per hour, during the hours of 10:00 AM to 3:00 PM is 20 we might be interested in the probability that fewer than three vehicles cross on from 12:30 to 12:45 PM. In this case l = (20 per hour)(0.25hours) = 5. The expected value and the variance of the Poisson distribution are identical and are equal to l.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}