Question

Each week during the ratings season viewers of the various tv stations frequently switch channels. Each week 20% of FOXs viewers switch to ABC, 15% switch to CBS, and 25% switch to NBC:15% of ABCs viewers switch to CBS, 15% to NBC and 20% switch to FOX, 25% of CBS viewers switch to NBC, 20% to FOX and 15% to ABC; 20% of NBCs switch to FOX, 20% switch to ABC and 20% switch to CBS During the first week of the ratings season, there were 1,200,632 FOX viewers 600,316 ABC viewers, 652,810 CBS viewers, and 787,395 NBC viewers sampled. [5 points each] a) What do you expect the distribution of viewers to be at the end of the second week of the ratings season? b) What will the long term distribution of viewers be? Mark hov Solve using Markov process in linear algebra
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Answer #1

Solu Fox →1 nitial olistrst button is 20o,632 3,2 41,153 3 1 787, 3g5、-0,24 , 1S3 1 [0.37 o-1gozo o.24 of mond the r ting seasonsecand week p 00、but on i o.274 2147 , 212 27 on . long erom poobabiiy Atetoibution looFor this problem R software use for calculation

R code given below

1 8:40 AM p-matrix(c(0.4,0.2,0.2,0.2,0.2,0.5,.15,.2,.15,.15,4,2,25 15,25,4)nrow 4) 1=o(0.37,0.19,0.20,0.24) I-as.matrix(1) t(I)%1%p a p 100) for(i in 1:100) Run it (Shift+Enter) Save it Put on a wall [+1 Show input Absolute running time: 0.36 sec, cpu time: 0.56 sec, memory peak: 30 Mb, absolute service time: 0,36 sec [1,1 0.274 0.247 0.212 0.267 C,11 C,2] t,3] 0,4] 1,] 0.25 0.2701794 0.2174888 0.2623318 [2,] 0.25 0.2701794 0.2174888 0.2623318 [3,1 0.25 0.2701794 0.2174888 0.2623318 [4,] 0.25 0.2701794 0.2174888 0.2623318

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