本题目来源于试卷: IB MAI HL Statistics & Probability Topic 4.3 Probability，类别为 IB数学
[问答题]
Two competing radio s5 ym,xox 7yhq:tations, station A and station B, each have 50 \% ofo( xzx,r47a2m o, wcgm, lgwj. the listener market at some point in time. Over r2,j xw(wz4gog,.cml7a ,xmoeach 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.
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.
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.
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