Question 6 Mindy and Gemma own two different mobile phone companies. Mindy's company is called Windy Service (W) and Gemma's, My Gem (G). At the moment Windy Service owns 15% and My Gem 40% of the market share. The rest is owned by other companies (C). The girls decide to promote their companies by advertising their product. As a result their accountants have made the following predictions. If a person is using Windy Service in a particular year, there is a 5% chance they will switch to other companies and a 2% chance they will switch to My Gem in the following year. If a person is using My Gem in a particular year, there is a 4% chance they will switch to Windy Services and a 10% chance they will switch to other companies in the following year. If they use another company in a particular year, there is a 15% chance they will switch to My Gem and 12% chance they will switch to Windy Service in the following year. a. Complete the initial state matrix below, expressing the percentages as proportions; for example 70% = 0.7. 1 mark W S = G b. Write down the transition matrix, expressing the percentages as proportions. 1 mark This year W GC T = G Next year 8