I only need part B answered.

Data collected from selected major metropolitan areas in the eastern United States show that 2% of individuals living within the city limits move to the suburbs during a one-year period, while 3% 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.

(a)

Prepare the matrix of transition probabilities.

	City	Suburbs
City	.98	.02
Suburbs	.03	.97

(b)

Compute the steady-state probabilities.

City ₁ =_________?

Suburbs ₂ =___________?