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 4 major jams on a day?

A convenience store wants to determine if it is feasible to…

A convenience store wants to determine if it is feasible to stay open during the hours between 1 am and 4 am.  Data was collected over a period of several weeks and on average there were 3.2 customers per hour during those overnight hours. Assuming the number of customers arriving follows a Poisson distribution, what is the probability that there will be exactly 6 customers arriving during the three hours between 1 am and 4 am

A fast food restaurant wants to determine if it is feasible…

A fast food restaurant wants to determine if it is feasible to stay open during the hours between 1 am and 4 am.  Data was collected over a period of several weeks and on average there were 3.2 customers per hour during those overnight hours. Assuming the number of customers arriving follows a Poisson distribution, what is the probability that there will be exactly 5 customers arriving during the three hours between 1 am and 4 am