humanities majors

Suppose that a certain four-year college classifies its students as either science majors or humanities majors. Suppose that each year, 10 percent of science majors switch their major to the huma…

Suppose that a certain four-year college classifies its students as either science majors or humanities majors. Suppose that

Suppose that a certain four-year college classifies its students as either science majors or humanities majors. Suppose that each year, 10 percent of science majors switch their major to the humanities, and 5 percent of humanities majors switch their major to the sciences. (a) Model this process as a Markov chain. Write down the state space and transition prob- abilities. (b) If 60 percent of students are science majors when they enter as freshmen, what percentage of students are science majors when they are seniors three years later?