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USA Today reported that Parkfield, California, is dubbed the world's earthquake capital because it sits on top of the notorious San Andreas fault. Since 1857, Parkeld has had a major earthquake on the average of 0.8 times every 22 years. (3) Explain why a Poisson probability distribution would be a good choice for r = number of earthquakes in a given time interval. 0 Frequency of earthquakes is a common occurrence. It is reasonable to assume the events are independent. 0 Frequency of earthquakes is a rare occurrence. It is reasonable to assume the events are dependent. 0 Frequency of earthquakes is a common occurrence. It is reasonable to assume the events are dependent. @ Frequency of earthquakes is a rare occurrence. It is reasonable to assume the events are independent. I (b) Compute the probability of at least one major earthquake in the next 22 years. Round A to the nearest hundredth, and use a calculator. (Use 4 decimal places.) 0.5506 X (c) Compute places.) the probability that there will be no major earthquake in the next 22 years. Round A to the nearest hundredth, and use a calculator. (Use 4 decimal 0.1353 X 0.0067 0.1756 (d) Compute (e) Compute the probability of at least one major earthquake in the next 48 years. Round A to the nearest hundredth, and use a calculator. (Use 4 decimal places.) X the probability of no major earthquakes in the next 48 years. Round 11 to the nearest hundredth, and use a calculator. (Use 4 decimal places.) X