Question 2: (30) Harv University (HU) Student Affairs Office has modeled the evolution of the students' status at HU as a Markov Chain with the following transition probability matrix: They observe each student's state at the beginning of each year. For instance, if a student is a sophomore at the beginning of the current year, there is a 10% chance that he/she will still be a sophomore at the beginning of the next year, an 70% chance that he/she will be a junior and a 20% chance that he/she will have quit. If a student quits, he/she never reenrolls. What is the probability that a freshman graduates