Problem 1 20 pts] Poisson distribution is often used to model rare events. Suppose that the number of earthquakes per year in a mysterious region 'M' follows a Poisson distribution. We have recorded the number of earthquakes from that region for the past 15 years (from 2007 to 2021). The data are 0, 0, 2, 2, 0, 0, 2, 2, 1, 3, 0, 1, 1, 3, 2 Estimate the probability that there is at most 2 earthquakes in the year 2023. Justify your solution