Disaster data can be used to inform policy decisions to help reduce disaster risks and build resilience. Geological investigations and historical record of earthquakes in New Zealand show that the average number of earthquakes with magnitude 4-4.9 is 445 per year. We will assume the number of earthquakes of this magnitude per year follows a Poisson distribution. Approximate the probability that at least 505 earthquakes occur in a year. Give your answer with 4 digits, e. g. 0.1234