Question 5. A seismologist estimates that there are 2 major earthquakes in a certain region every 100 years, on average. (a) Which probability distribution that we have studied is most appropriate for modeling the number of major earthquakes in this region in the next 100 years? What is the expected value and variance of this probability distribution? (b) What is the probability that there will be exactly 3 major earthquakes in this region in the next 100 years? (c) What is the probability that there will be at most one major earthquake in this region in the next 100 years? Bonus. Referring to the previous question, what is the probability that there will be no major earthquakes in this region in the next 20 years