The registrar of a law school has compiled the following statistics on the progress of the school's students working toward the LLB degree: Of the first-year students in a particular year, 84% successfully complete their course of studies and move on to the second year, whereas 16% drop out of the program; of the second-year students in a particular year, 92% go on to the third year, whereas 8% drop out of the program; of the third-year students in a particular year, 98% go on to graduate at the end of the year, whereas 2% drop out of the program. (a) Construct the transition matrix associated with the Markov process. (Label your matrix using this order: Drop out, Graduate, First-Year, Second-Year, Third-Year) (b) Find the steady-state matrix. (Round your answers to four decimal places.) (c) Determine the probability that a beginning law student enrolled in the program will go on to graduate. (Round your answer to four decimal places.)