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...

Using [0 1 0] as the probability vector , answer #22 on page 475

Extracted 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


Extracted 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.