Draw the transition probability graph and construct the transition probability matrix of the following problems.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Draw the transition probability graph and construct the transition probability matrix of the
following problems.
1. An engineering professor purchases a new computer every three years with preferences
for three nodels: M1, M2, and M3. If the present model is M1, the next computer may be
M2 with probability of 0.2 or M3 with probability 0.15. If the present model is M2, the
probabilities of switching to M1 or M3 are 0.6 and 0.25, respectively. And, if the present
model is M3, then, the probabilities of switching to M1 or M2 are 0.5 and 0.1,
respectively.
|
Transcribed Image Text:Draw the transition probability graph and construct the transition probability matrix of the following problems. 1. An engineering professor purchases a new computer every three years with preferences for three nodels: M1, M2, and M3. If the present model is M1, the next computer may be M2 with probability of 0.2 or M3 with probability 0.15. If the present model is M2, the probabilities of switching to M1 or M3 are 0.6 and 0.25, respectively. And, if the present model is M3, then, the probabilities of switching to M1 or M2 are 0.5 and 0.1, respectively. |
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