Questions from College Mathematics

Q: approximate the stationary matrix S for each transition matrix P by computing

approximate the stationary matrix S for each transition matrix P by computing powers of the transition matrix P. Round matrix entries to four decimal places

Q: Repeat Problem 45 if the red urn contains 5 red and 3

Repeat Problem 45 if the red urn contains 5 red and 3 blue marbles, and the blue urn contains 1 red and 3 blue marbles. Data From Problem 45: A red urn contains 2 red marbles and 3 blue marbles, and...

Q: Given the transition matrix / (A) Discuss

Given the transition matrix (A) Discuss the behavior of the state matrices S1, S2, S3,c for the initial-state matrix S0 = [.2 .3 .5] . (B) Repeat part (A) for...

Q: The transition matrix for a Markov chain is /

The transition matrix for a Markov chain is (C) How many different stationary matrices does P have?

Q: require the use of a graphing calculator. Refer to the

require the use of a graphing calculator. Refer to the transition matrix P in Problem 50. What matrix P do the powers of P appear to be approaching? Are the rows of P stationary matrices for P?

Q: The transition matrix for a Markov chain is /

The transition matrix for a Markov chain is Let mk denote the minimum entry in the third column of Pk . Note that m1 = .3. (A) Find m2, m3, m4, and m5 to three decimal places. (B) Explain why mk &...

Q: The railroad in Problem 55 also has a fleet of tank cars

The railroad in Problem 55 also has a fleet of tank cars. If 14% of the tank cars on the home tracks enter the national pool each month, and 26% of the tank cars in the national pool are returned to t...

Q: The U.S. Census Bureau published the home ownership rates

The U.S. Census Bureau published the home ownership rates given in Table 2. The following transition matrix P is proposed as a model for the data, where H represents the households that own their ho...

Q: Find each indefinite integral and check the result by differentiating.

Find each indefinite integral and check the result by differentiating.

Q: Consumers in a certain area can choose between three package delivery services

Consumers in a certain area can choose between three package delivery services: APS, GX, and WWP. Each week, APS loses 10% of its customers to GX and 20% to WWP, GX loses 15% of its customers to APS a...