Use rpois(120,1.75) to simulate fumbles for 120 teams. Compare the results of your simulation to a Poisson distribution with the same mean as your simulated data, just as in Example 2.7.2.
a) How does your simulated data compare to the theoretical distribution?
b) Repeat this for several simulated data sets. Comment on the fit of a Poisson distribution to the real football fumble data in light of these simulations?
Is the Poisson model a good model for the number of fumbles in NCAA football games?