2019 July Question 1 (a) The occurrence of earthquakes is commonly modelled by a Poisson process. Assume that the occurrence of an earthquake in a certain region was modelled by a Poisson process with an annual rate of 0.01. Analyze and compute the probability of occurrence of exactly one earthquake in 1 year. (iv) Analyze and compute the probability of occurrence of one or more earthquake in 1 year. Analyze and compute the probability of occurrence of two earthquakes in 2 years. (iii) Analyze and compute the probability of having an earthquake time more than 100 years after the last occurrence.