Question 1(10 points) Two volleyball teams play volleyball rallies against each other indefinitely without keeping track of points. When a team wins a rally, that team serves for the next rally, but if a team loses a rally, then the other team serves the next rally. Suppose that team A has a 70% chance of winning any rally they serve and team B has a 60% chance of winning a rally they serve. 1. If team A serves first, what is the expected number of rallies before they serve again? 2. If team B serves first, what is the expected number of rallies before they serve again? 3. What proportion of rallies does each team serve in the long run? (Hint: Consider the Markov chain with 2 states: team A wins the rally, team A loses the rally)