Question

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?

Answer 1

O- Science 0.95 o 65 a)so ve have turo eteS H The ,than sition maなino.. S「6-9 6-1 H 0.05 0.1S 41.귀% deruo 3 ysim.patun