In a Certain City, the Democratic, Republican, and Consumer Parties

question 102

Multiple Choice

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 party winning in any election depends on the proportional membership of his/her party at the time of the election. The probabilities for all these parties winning are given by the following transition matrix P. Using the given transition matrix and assuming the initial-probability vector is , find the probability vectors for the next four steps of the Markov chain. Round all numerical values in your answer to four decimal places. ​ ​

• A) , , ,
• B) , , ,
• C) , , ,
• D) , , ,
• E) , , ,

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Definitions:

Stimulus-Response

A concept in behaviorism that describes an automatic reaction to a specific stimulus.

Black Box

A system or device whose internal workings are not well understood by the user, focusing only on the input and output.

Internalization

The process of integrating beliefs, values, or behaviors into one's own value system or way of being, often subconscious.

Salesperson

A Salesperson is an individual who sells goods or services to customers, often working on behalf of a company, utilizing skills in persuasion and negotiation to achieve sales.