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USA Today reported that Parkfield, California, is dubbed the world’s earthquake capital because it sits on...

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Basic Math

USA Today reported that Parkfield, California, is dubbed theworld’s earthquake capital because it sits on top of the notoriousSan Andreas fault. Since 1857, Parkfield has had a major earthquakeon average of once every 22 years.

a) Explain why the Poisson distribution would be a good choicefor r = the number of earthquakes in a given time interval.

b) Compute the probability of at least one major earthquake inthe next 22 years. Round lambda to the nearest hundredth, and use acalculator.

c) Compute the probability that there will be no majorearthquake in the next 22 years. Round lambda to the nearesthundredth, and use a calculator.

d) Compute the probability of at least one major earthquake inthe next 50 years. Round lambda to the nearest hundredth, and use acalculator.

e) Compute the probability that there will be no majorearthquake in the next 50 years. Round lambda to the nearesthundredth, and use a calculator.

Answer & Explanation Solved by verified expert
3.7 Ratings (560 Votes)
a Consider the random variableR Number of major earthquakes in a given time intervalie we count the number of earthquakes in a given timeintervalr takes value 012Given that average number of    See Answer
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