City of Ann Arbor wishes to form a Green Club, a group of people devoted to green technology. The club is open to all, and enrol
lment is done on rst-come- rst-serve basis. The enrollment stops when there are exactly 5 people who are born on January 1 in the club. Assume that there are always enough people in Ann Arbor who wish to join the club. Let X denote the size of the club. Find the expected value of X. (Assume that there are no leap years).