(solution) The number of accidents per day on a particular stretch of motorway follows a Poisson…

(solution) The number of accidents per day on a particular stretch of motorway follows a Poisson…

The number of accidents per day on a particular stretch of motorway follows a Poisson distribution with a mean of one. Find the probabilities of 0, 1, 2, 3, 4 or more accidents on this stretch of motorway on a particular day. Find the expected number of days with 0, 1, 2, 3, 4 or more accidents in a one-year period (assuming 365 days per year). If the average cost of policing an accident is £1000, find the expected cost of policing accidents on this stretch of motorway for a year.