Various sources provide different earthquake data, but assume that for a recent 41-year period in the world, there were 5469 earthquakes measured at 6.0 or higher on the Richter scale (based on U.S. Geological Survey data).
a. Find the mean number of earthquakes per year.
b. Find the probability that in a given year, there are exactly 133 earthquakes that measures 6.0 or higher on the Richter scale.
c. If, in a particular year, there are exactly 133 earthquakes that measure 6.0 or higher on the Richter scale, would it make sense to report that this is a year with an unusual number of earthquakes? Why or why not?