# Data for the progression of college students at a particular college are summarized in the following matrix of transition probabilities. a. What states are absorbing states? b. Interpret the transition probabilities for a sophomore. c. Use the Management Scientist software package to compute the probabilities that a sophomore will graduate and that a sophomore will drop out. d. In an

Chapter 17, Problems #14
Data for the progression of college students at a particular college are summarized in the following matrix of transition probabilities.

a. What states are absorbing states?
b. Interpret the transition probabilities for a sophomore.
c. Use the Management Scientist software package to compute the probabilities that a sophomore will graduate and that a sophomore will drop out.
d. In an address to the incoming class of 600 freshmen, the dean asks the students to look around the auditorium and realize that about 50% of the freshmen present today will not make it to graduation day. Does your Markov process analysis support the dean€™s statement? Explain.
e. Currently, the college has 600 freshmen, 520 sophomores, 460 juniors, and 420 seniors. What percentage of the 2000 students attending the college will eventuallygraduate?