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Oklahoma is a Great Plains state in the south-central part of the United States, a...

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Oklahoma is a Great Plains state in the south-central part of the United States, a region not historically known for its earthquakes. Seismic records up to 2008 show that Oklahoma has experienced a constant rate about 1.5 perceptible earthquakes (magnitude at least 3) per year, on average.Use the software of your choice to calculate the answers for (a)-(c).(a) Assuming that earthquakes are random and independent, with a constant rate of 1.5 per year, the count of perceptible earthquakes per year in Oklahoma should have a Poisson distribution with mean 1.5. Under this model, what is the probability that Oklahoma had more than 10 perceptible earthquakes in a given year prior to 2008? (Enter your answer rounded to ten decimal places.)P(X> 10) =(b) In 2013, Oklahoma experienced 109 perceptible earthquakes (an average of about 2 events per week). If the rate of 1.5 perceptible earthquakes per year was still true, what would be the probability of recording 109 or more perceptible earthquakes?(Enter your answer rounded to the nearest whole number.)

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