Suppose the number of motor-vehicle fatalities in a city during a week is Poisson distributed, with an average of 8 fatalities per week.
(a) What is the probability that 12 fatalities occur in a specific week?
(b) What is the probability that at least 12 fatalities occur during a specific week?
(c) How many motor-vehicle fatalities would have to occur during a given week to conclude there are an unusually high number of events in that week?