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, Parkfield has had a major earthquake on the average of 2.0 times every 22 years. (a) Explain why a Poisson probability distribution would be a good choice for r = number of earthquakes in a given time interval. Frequency of earthquakes is a common occurrence. It is reasonable to assume the events are dependent. Frequency of earthquakes is a common occurrence. It is reasonable to assume the events are independent. Frequency of earthquakes is a rare 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. Correct: Your answer is correct. (b) Compute the probability of at least one major earthquake in the next 22 years. Round λ to the nearest hundredth, and use a calculator. (Use 4 decimal places.) Correct: Your answer is correct. (c) Compute the probability that there will be no major earthquake in the next 22 years. Round λ to the nearest hundredth, and use a calculator. (Use 4 decimal places.) Incorrect: Your answer is incorrect. (d) Compute the probability of at least one major earthquake in the next 59 years. Round λ to the nearest hundredth, and use a calculator. (Use 4 decimal places.) Incorrect: Your answer is incorrect. (e) Compute the probability of no major earthquakes in the next 59 years. Round λ to the nearest hundredth, and use a calculator. (Use 4 decimal places.)