(a) Explain why a Poisson probability distribution would be a good choice for r= number of earthquakes in a given time interval. (b) Compute the probability of at least one major earthquake in the next 22 years. Round 2 to the nearest hundredth, and use a calculator. (c) Compute the probability that there will be no major earthquake in the next 22 years. Round à to the nearest hundredth, and use a calculator.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 47E
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#20 Earthquakes: San Andreas Fault Since 1857, Parkfield, California, has had a major
earthquake on the average of once 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.
(b) Compute the probability of at least one major earthquake in the next 22 years. Round 2
to the nearest hundredth, and use a calculator.
(c) Compute the probability that there will be no major earthquake in the next 22 years.
Round 2 to the nearest hundredth, and use a calculator.
(d) Compute the probability of at least one major earthquake in the next 50 years. Round 2
to the nearest hundredth, and use a calculator.
(e) Compute the probability of no major earthquake in the next 50 years. Round 2 to the
nearest hundredth, and use a calculator.
Transcribed Image Text:#20 Earthquakes: San Andreas Fault Since 1857, Parkfield, California, has had a major earthquake on the average of once 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. (b) Compute the probability of at least one major earthquake in the next 22 years. Round 2 to the nearest hundredth, and use a calculator. (c) Compute the probability that there will be no major earthquake in the next 22 years. Round 2 to the nearest hundredth, and use a calculator. (d) Compute the probability of at least one major earthquake in the next 50 years. Round 2 to the nearest hundredth, and use a calculator. (e) Compute the probability of no major earthquake in the next 50 years. Round 2 to the nearest hundredth, and use a calculator.
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