QUESTION 1 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 r(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. [.6 2 .1 .1 .4 .4 .1.1 P = .1 T(0) = (.4, .3, .2, .1) .2 .5 .05 .05 .7 2 Using the data in Table 14-6, determine Major 1's estimated popularity after students have taken the first introductory course. 0.415 0.365 0.425 0.385 DO00

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QUESTION 1
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
T(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.
.6
.2
.1
.4
.1 .1
P =
.1
пО) 3 (,4, 3, .2, .1)
2 .5
.05 .05 .7 .2
.2
Using the data in Table 14-6, determine Major 1's estimated popularity after students have taken the first introductory course.
0.415
0.365
0.425
0.385
DOO
Transcribed Image Text:QUESTION 1 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 T(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. .6 .2 .1 .4 .1 .1 P = .1 пО) 3 (,4, 3, .2, .1) 2 .5 .05 .05 .7 .2 .2 Using the data in Table 14-6, determine Major 1's estimated popularity after students have taken the first introductory course. 0.415 0.365 0.425 0.385 DOO
Expert Solution
Step 1

Given information:

The transition probability matrix of of four majors is:

P=0.60.20.10.10.40.40.10.10.10.20.20.50.050.050.70.2

The initial proportion of students in each major is as follows:

π0=0.4, 0.3, 0.2, 0.1

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