For examples such as those in Exercises 9 and 10 it might seem that at least you

For examples such as those in Exercises 9 and 10 it might
seem that at least you should not have to wait on average more than 10 minutes
if the average time between occurrences is 10 minutes. Alas even this is not
true. To see why consider the following assumption about the times between
occurrences.Assume that the time between occurrences is 3 minutes with
probability .9 and 73 minutes with probability .1. Show by simulation that the
average time between occurrences is 10 minutes but that if you come upon this
system at time 100 your average waiting time is more than 10 minutes.