Recall Exercise 15.3 about time intervals between successive coal mine disasters. Let us assume that the rate at which the disasters occur is constant over time and that on a single day a disaster...

Recall Exercise 15.3 about time intervals between successive coal mine disasters. Let us assume that the rate at which the disasters occur is constant over time and that on a single day a disaster takes place with small probability independently of what happens on other days. According to Chapter 12 this suggests modeling the series of disasters with a Poisson process. Figure 17.12 displays a histogram and empirical distribution function of the observed time intervals

a. In the statistical model for this dataset we model the 190 time intervals as the realization of a random sample. What would you choose for the model distribution?

b. The sum of the observed time intervals is 40 549 days. Give an estimate for the parameter(s) of the distribution chosen in part a