Question

A research study in a big metropolitan area shows that 2% of individuals living within the...

A research study in a big metropolitan area shows that 2% of individuals living within the city limits move to suburbs during one-year period while 1% of individuals living in the suburbs move to the city during a one-year period.
1. Define the approach that should be used to solve the problem and identify all your inputs of the model
2. Assume that a person is now living in the city, what is the probability that the person will move the the suburb after two year? Use a tree diagram to answer the question.
3. Assume that a person is now living in the suburbs, what is the probability that the person will stay there next year?
4. What is the proportion of people who are living in the city in the long run?
5. In a particular metropolitan area, 40% of the population lives in the suburbs. What population changes do your long run probabilities project for this metropolitan area?
6. A group of 100 individuals are now living in the city, how many of them will stay after 3 years.

Homework Answers

Answer #1

1. We can use a Markov chain to decribe this problem.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A research study in a big metropolitan area shows that 2% of individuals living within the...
A research study in a big metropolitan area shows that 2% of individuals living within the city limits move to suburbs during one-year period while 1% of individuals living in the suburbs move to the city during a one-year period. 1. Dene the approach that should be used to solve the problem and identify all your inputs of the model 2. Assume that a person is now living in the city, what is the probability that the person will move...
Problem 16-07 (Algorithmic) Data collected from selected major metropolitan areas in the eastern United States show...
Problem 16-07 (Algorithmic) Data collected from selected major metropolitan areas in the eastern United States show that 6% of individuals living within the city limits move to the suburbs during a one-year period, while 2% of individuals living in the suburbs move to the city during a one-year period. Answer the following questions assuming that this process is modeled by a Markov process with two states: city and suburbs. Prepare the matrix of transition probabilities. City Suburbs City __________ _________...
Problem 16-07 (Algorithmic) Data collected from selected major metropolitan areas in the eastern United States show...
Problem 16-07 (Algorithmic) Data collected from selected major metropolitan areas in the eastern United States show that 8% of individuals living within the city limits move to the suburbs during a one-year period, while 4% of individuals living in the suburbs move to the city during a one-year period. Answer the following questions assuming that this process is modeled by a Markov process with two states: city and suburbs. Prepare the matrix of transition probabilities. City Suburbs City 0.92 0.08...
(1 point) Populations shifts in a certain city follow a particular pattern every year. If a...
(1 point) Populations shifts in a certain city follow a particular pattern every year. If a person is living in the city they will stay in the city 0%0% of the time, move to the suburbs 50%50% of the time, and move out-of-state 50%50% of the time. If a person is living in the suburbs, they will move into the city 20%20% of the time, stay in the suburbs 30%30% of the time, and move out-of-state 50%50% of the time....
Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas...
Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 80% of those now using public transportation...
Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas...
Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 80% of those now using public transportation...
a) Within a large metropolitan area, 20% of the commuters currently use the public transportation system,...
a) Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 40% of those now using public...
each American family is classified as living in an urban, rural, or suburban location. During a...
each American family is classified as living in an urban, rural, or suburban location. During a given year, 10% of all urban families move to a suburban location, and 5% move to a rural location; also, 10% of all suburban families move to an urban location, and 4% move to a rural location; finally, 4% of all rural families move to an urban location, and 6% move to a suburban location. 1- If a family now lives in an urban...
9.2.10 A study conducted by the Urban Energy Commission in a large metropolitan area indicates the...
9.2.10 A study conducted by the Urban Energy Commission in a large metropolitan area indicates the probabilities that homeowners within the area will use certain heating fuels or solar energy during the next 10 years as the major source of heat for their homes. The following transition matrix represents the transition probabilities from one state to another.    Elec. Gas Oil Solar Electricity Natural Gas Fuel Oil Solar Energy 0.60 0.05 0.10 0 0.15 0.85 0.10 0.09 0.10 0.02 0.75 0.09...
Each American family is classified as living in an urban, suburban, or rural location.  During a given...
Each American family is classified as living in an urban, suburban, or rural location.  During a given year, 15% of all urban families move to a suburban location, and 5% move to a rural location; also, 6% of all suburban families move to an urban location, and 4% move to a rural location; finally, 4% of all rural families move to an urban location, and 6% move to a suburban location. Assuming that the probability that any given family moves in...