In Northern Yellowstone Lake, earthquakes occur at a mean rate of 1.2 quakes per year. Let X be the number of quakes in a given year. (a) Justify the use of the Poisson model. Earthquakes are random and independent events. Earthquakes occur at regular intervals. Earthquakes are not independent events. (b) What is the probability of fewer than three quakes? (Round your answer to 4 decimal places.) Probability (c) What is the probability of more than five quakes? (Round your answer to 4 decimal places.) Probability