In Exercise 11.6.17 about getting into the New York City Marathon: 

a. What is the mean number of times people get accepted if they enter the lottery for 5 years? 

b. What is the mean number of times someone would have to enter the lottery to get accepted exactly once?

Data from Exercise 11.6.17

Some marathons are so popular that they use lotteries to determine who can run in them. In the 2016 New York City Marathon, about 23% of those who registered to enter through the lottery were accepted. Let’s assume this percentage stays the same in future years.