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1. For the last 300 years, extensive records have been kept on volcanic activity in Japan. From historical records the mean number of eruptions or instances of major seismic activity is 2.4 per year. A researcher is interested in modeling the number of eruptions or major seismic activities over the 5-year period of 2005-2010. (Hint remember how the Poisson distribution scales)
a. Assuming approximate normality, what is probability of 5 eruptions or instances or fewer over the 5-year period?
b. Assuming approximate normality and using continuity correction, what is the probability of more than 20 eruptions during the 5-year period?
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