Interlochen Arts Academy 9th and 10th graders are housed in three dormitories: Picasso, Hemingway, and Mozart. Mozart is an all-female dorm, Hemingway is an all-male dorm, and Picasso is coed. In September, school started with 80 students in Mozart, 60 in Picasso, and 70 in Hemingway. Students are permitted to move from one dorm to another on the first Sunday of each month. This transition graph shows the movements this past year.
a. Write a transition matrix for this situation. List the dorms in the order Mozart, Picasso, Hemingway.
b. What were the populations of the dorms in
i. October?
ii. November?
iii. May?

Transcribed Image Text:

Maan S% Picasso- 6% Hemin wav 92% 85% 12% 15% 82%