(a) Agency banking is a growing trend in the country. In an effort to improve customer service a monthly research on the switching patterns of clients from three Bank Agents A, B and C was conducted and recorded as shown below. Number of Market Clients. Share. Banks Gains from 30.4.2020 A B A 4000 0.294 400 120 B 8000 0.471300 140 6000 0.235 100 510 1 0) Determine the transition matrix of the market controlled by the three Agents. Comment on your results. (3 Marks) (ii) Determine the market share percentage and number of clients visiting each of the three agents at the end of June 2020. Comment on your results. Marks) (iii) Using appropriate calculations, advise on the nature of business in the long-run. Comment on your results, (4 Marks) (b) A Markov chain with three states has the following transition matrix 1-P 01 0 P 1-P) Determine the value of p if the long run probability of being in state three is 0.552 (a) Agency banking is a growing trend in the country. In an effort to improve customer service a monthly research on the switching patterns of clients from three Bank Agents A, B and C was conducted and recorded as shown below. Number of Market Clients. Share. Banks Gains from 30.4.2020 A B A 4000 0.294 400 120 B 8000 0.471300 140 6000 0.235 100 510 1 0) Determine the transition matrix of the market controlled by the three Agents. Comment on your results. (3 Marks) (ii) Determine the market share percentage and number of clients visiting each of the three agents at the end of June 2020. Comment on your results. Marks) (iii) Using appropriate calculations, advise on the nature of business in the long-run. Comment on your results, (4 Marks) (b) A Markov chain with three states has the following transition matrix 1-P 01 0 P 1-P) Determine the value of p if the long run probability of being in state three is 0.552