Table 14-6 The Following Data Consists of a Matrix of Transition Probabilities

Multiple Choice

Table 14-6
The following data consists of a matrix of transition probabilities (P) of four majors in the College of Business, and the initial proportion of students in each major π(0) .Assume that each state represents a major and the transition probabilities represent changes from one major to the next after taking the introductory class in each discipline.
P =

π(0) = (.4, .3, .2, .1)
-Using the data in Table 14-6, determine Major 3's estimated popularity after students have taken the first two introductory courses.

A) 0.232
B) 0.220
C) 0.356
D) 0.191