For a recent period of 100 years, there were 93 major earthquakes (measuring at least 6.0 on the Richter scale) in the w

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For a recent period of 100 years, there were 93 major
earthquakes (measuring at least 6.0 on the Richter scale) in the
world. Assume that the Poisson Distribution is a suitable
model:
(1) Find the mean number of major earthquakes per year.
(2) Evaluate P(X = r), for r = 0,1,2, ⋯ ,7
(3)The actual results are as follows: 47 years (0 Major
earthquakes); 31 years (1 Major earthquake); 13 years (2 Major
earthquakes); 5 years (3 Major earthquakes); 2 years (4 Major
earthquakes); 0 years (5 Major earthquakes); 1 year (6 Major
earthquakes); 1 year (7 Major earthquakes). How do these actual
results compare to the probabilities found in part (2)?
(4)Does the Poisson distribution appear to be a good model in
this case?