Since 1857, Parkfield, California, has had a major earthquake on the average of once every 22 years. Explain why a Poisson probability distribution would be a good choice for r = number of earthquakes in a given time interval. Compute the probability of at least one major earthquake in the next 22 years. Round λ to the nearest hundredth, and use a calculator. 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. Compute the probability of at least one major earthquake in the next 50 years. Round λ to the nearest hundredth, and use a calculator. Compute the probability of no major earthquake in the next 50 years. Round λ to the nearest hundredth, and use a calculator.

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Fault  Since 1857, Parkfield, California, has had a major earthquake on the average of once every 22 years.

  • Explain why a Poisson probability distribution would be a good choice for r = number of earthquakes in a given time interval.
  • Compute the probability of at least one major earthquake in the next 22 years. Round λ to the nearest hundredth, and use a calculator.
  • 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.
  • Compute the probability of at least one major earthquake in the next 50 years. Round λ to the nearest hundredth, and use a calculator.
  • Compute the probability of no major earthquake in the next 50 years. Round λ to the nearest hundredth, and use a calculator.
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