[填空题]
Two competing radio statj+s y glb-ia:3ions, stat 2ftp yg1*aq3 an q)rpwu tmm.1xfcek +7e5+l)ion 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 manages to take away 10 % of station A's share.
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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:
