2. For a recent period of 100 years, there were 93 major earthquakes (at least 6.0 on the Richter
magnitude scale) in the world (based on data from the World Almanac and Book of Facts).
(a) Can we reasonably model the number of major earthquakes in a given year using this informa-
tion as a Poisson distribution? If yes, determine the parameter $\lambda$
(b) Suppose we randomly select a year in the last century and observe the number of major earth-
quakes. What is the probability that there were 4 such events?
(c) In a randomly observed year, there were 6 major earthquakes. What is the likelihood of this
occuring?