Question

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 1.7 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 independent.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 dependent.Frequency of earthquakes is a rare occurrence. It is reasonable to assume the events are independent.

(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.)
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(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.)


(d) Compute the probability of at least one major earthquake in the next 56 years. Round λ to the nearest hundredth, and use a calculator. (Use 4 decimal places.)


(e) Compute the probability of no major earthquakes in the next 56 years. Round λ to the nearest hundredth, and use a calculator. (Use 4 decimal places.)

Answer 1

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