Politics Use the following information for Problems 21. and 22. In a certain city, the Democratic, Republican, and Cuugumer narties have members of their parties on the

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Using [0 1 0] as the probability vector , answer #22 on page 475
Politics Use the following information for Problems 21
APPLICATIONS
and 22. In a certain city, the Democratic, Republican, and
Consumer parties have members of their parties on the
city council. The probability of a member of this
winning any election depends on the proportional mem-
bership of his or her party at the time of the election. The
probabilities for all these parties winning are given by the
following transition matrix P.
party
Party in office next term
Party in office now
D R
Democrat
0.5
0.4
0.1
Republican
0.4
0.5
0.1
Consumer
0.3
0.3
0.4
ning that
Transcribed Image Text:Politics Use the following information for Problems 21 APPLICATIONS and 22. In a certain city, the Democratic, Republican, and Consumer parties have members of their parties on the city council. The probability of a member of this winning any election depends on the proportional mem- bership of his or her party at the time of the election. The probabilities for all these parties winning are given by the following transition matrix P. party Party in office next term Party in office now D R Democrat 0.5 0.4 0.1 Republican 0.4 0.5 0.1 Consumer 0.3 0.3 0.4 ning that
22. Using the given transition matrix and assuming that all
members of the council are Republicans, find the prob-
ability vectors for the next four steps of the Markov
chain.
Transcribed Image Text:22. Using the given transition matrix and assuming that all members of the council are Republicans, find the prob- ability vectors for the next four steps of the Markov chain.
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