[填空题]
Two competing radio st s( h1w*6pum.,ryruqamrw p (/ati19qj(; r6gvekxa hz :jons, station A and station B, each have 50 % of the listener market at some point in time. Over each one-year period, station A manages to take away 15 % of station B's share, and station B managa kg6:hqv(jxze 9 1rj;es to take away 10 % of station A's share.
1.Write down a transition matrix that describes the exchange of market shares between the two stations over each one-year period.
2.Find the market share held by each station after one year.
Station A:
Station B:
3.Write down the market shares of stations A and B over a five-year period.
4.Find the market share held by each station in the long term if the same trend of market share exchanges between the two stations continues indefinitely.
Station A:
Station B: