[填空题]
Three Internet Service Providers (ISPs) are available-eylvs +/1e ybr, lz0p in a small tov,rgpa84rhy k;8(-bbl :n z ixwn. During the year, ISP l4xbik(rg bh zn, 8y8-:pra;vA is expected to retain 85 % of its customers; 10 % will be lost to ISP B and 5 % to ISP C. ISP B is expected to retain 80 % of its customers; 10 % will be lost to each of the other two ISPs. ISP C is expected to retain 75 % of its customers; 15 % will be lost to ISP A and 10 % to ISP B.
1.Write down a transition matrix that describes the exchange of market shares between the three ISPs during the year.
The current market share held by ISP A is 0.2, by ISP B is 0.3 and by ISP C is 0.5.
2.Find the market share held by each ISP after one year.
ISP A: .
ISP B: .
ISP C: .
3.Find the market share held by each ISP after five years if the same trend of market share exchanges between the three ISPs continues.
Hence the market share held by each ISP after five years are
ISP A: .
ISP B: .
ISP C: .
