The number of magnitude 5 or larger earthquakes in Alaska follow a Poisson distribution with an average of 10 earthquakes per year. Round your answers to four decimals. In the following questions assume we are only talking about the magnitude 5 or larger earthquakes and the earthquakes are independent of one another. Round answers to at least 4 decimal places. a) Find the probability of exactly 15 earthquakes in a particular year. b) Find the probability of exactly one earthquake in one month. c) Find the probability that there are no earthquakes in a month. d) Find the probability that there are two earthquakes in a 3 month period