A large distribution center of a package delivery company ha…

A large distribution center of a package delivery company had an average of 2.5 major conveyor jams in each sort.  (A sort is when the semi-trucks bring packages to the facility and they are sorted to put into vehicles going to other centers or the final customer.  The sort uses a massive number of conveyors.)  The center runs 3 sorts per day.  Assuming the number of major jams follows a Poisson distribution, what is the probability of having exactly 5 major jams on a day?