For the last 300 years, extensive records have been kept on volcanic activity in Japan. In 2002,

Question:

For the last 300 years, extensive records have been kept on volcanic activity in Japan. In 2002, there were five eruptions or instances of major seismic activity. 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.
a. What probability model might be appropriate?
b. What is the expected number of eruptions or instances of major seismic activity during 2005–2010?
c. What is the probability of no eruptions or instances of major seismic activity during 2005–2010?
d. What is the probability of at least two eruptions or instances of major seismic activity during 2005–2010?