Using [0 1 0] as the probability vector , answer #22 on page 475 Politics Use the following information for Problems 21APPLICATIONSand 22. In a certain city, the Democratic, Republican, andConsumer parties have members of their parties on thecity council. The probability of a member of thiswinning any election depends on the proportional mem-bership of his or her party at the time of the election. Theprobabilities for all these parties winning are given by thefollowing transition matrix P.partyParty in office next termParty in office nowD RDemocrat0.50.40.1Republican0.40.50.1Consumer0.30.30.4ning that 22. Using the given transition matrix and assuming that allmembers of the council are Republicans, find the prob-ability vectors for the next four steps of the Markovchain.

22. From the given information, P=0.50.40.10.40.50.10.30.30.4 Probability vector: π=010

Answered: Politics Use the following information…

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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Question

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

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.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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