For example, in an area there are three companies A, B and C. Along with the impact of advertising from between companies, there will be a shift in customers. For example, the research results obtained information that when the previous month was customer A, the probability of the current month is still customer A, changing to company B, and C respectively: 0.7: 0.3; and 0.0. When the previous month was customer B, the probability of the current month shifted to A, stayed at B, and shifted to C respectively: 0.0; 0.9 and 0.1. When the previous month was customer C, the probability of the current month shifted to A, shifted to B. and stayed at C respectively: 0.0: 0.2; and 0.8. For example, if company A is given an index of 1, company B is given an index of 2, and company C is given an index of 3. a. Determine the transition matrix! b. Make a transition diagram on the answer to point (a)! c. Determine which state is not communicating! d. Determine which state is communicating!
For example, in an area there are three companies A, B and C. Along with the impact of advertising from between companies, there will be a shift in customers. For example, the research results obtained information that when the previous month was customer A, the probability of the current month is still customer A, changing to company B, and C respectively: 0.7: 0.3; and 0.0. When the previous month was customer B, the probability of the current month shifted to A, stayed at B, and shifted to C respectively: 0.0; 0.9 and 0.1. When the previous month was customer C, the probability of the current month shifted to A, shifted to B. and stayed at C respectively: 0.0: 0.2; and 0.8. For example, if company A is given an index of 1, company B is given an index of 2, and company C is given an index of 3.
a. Determine the transition matrix!
b. Make a transition diagram on the answer to point (a)!
c. Determine which state is not communicating!
d. Determine which state is communicating!
e. Determine the number of classes from the transition diagram in point (b)!
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