Find the transition matrix p and the matrices q and r

Assignment Help Project Management

Reference no: EM131263254

For the Markov chain of Exercise, solve the equations (I - Q)Φ = 1 to obtain the fundamental matrix Φ = (I - Q)^{- 1} .

Exercise:-

The following problem is based upon one in Kemeny and Snell (1960). In each year of a three -year degree course, a university student has probability p of not returning the following year, probability q ofhaving to repeat the year and probability r of passing (p +q +r = 1). The states are: dropped out (s₁); graduated (S₂), is a third-year student (S₃), is a secondyear student (S₄); and is a first-year student (S₅);

Find the transition matrix P and the matrices Q and R. (Note that this is a random walk with absorbing barriers.)

Reference no: EM131263254

Questions Cloud

Identify two key factors in the organizations : Specify the nature, structure, and types of products or services of Apple, and identify two key factors in the organization's external environment that can affect its success. Provide explanation to support the rationale.

Discuss your own solutions to improve team performance : Initiate a meeting with your manager (the assessor) to ensure you obtain advice from outside the work team - Discuss your own solutions to improve team performance and achieve team goals.

Change in supply and a change in the quantity supplied : Distinguish between a change in supply and a change in the quantity supplied, noting the cause(s) of each.

Determining the initial-value approach : When the price of CDs increased from $20.00 to $25.00, the quantity demanded decreased from 75 to 50 units. Using the initial-value approach, the (absolute value) price elasticity of demand is?

Find the transition matrix p and the matrices q and r : The states are: dropped out (s1); graduated (S2), is a third-year student (S3), is a secondyear student (S4); and is a first-year student (S5);- Find the transition matrix P and the matrices Q and R.

Identify the resources that would be required : She asks for your help in preparing a strong justification before the Board meets again in two weeks. In order to build a strong business case for the project, she wants you to lay out a process and identify the resources that would be required. W..

Auditor responsibility for clients physical inventory plan : What best describes the auditor's responsibility for the client's physical inventory plan?

Difference between chain-weighted gdp and nominal gdp : What is the difference between chain-weighted GDP and nominal GDP?

Causing high inherent risks for the inventory : Which of the following is not normally a factor causing high inherent risks for the inventory?

User Account

All Pages