39. Consider the one-dimensional symmetric random walk of Example 4.19, which was shown in that example to

Question:

39. Consider the one-dimensional symmetric random walk of Example 4.19, which was shown in that example to be recurrent.

Let denote the long-run proportion of time that the chain is in state i.

(a) Argue that Image for all i.

(b) Show that Image.

(c) Conclude that this Markov chain is null recurrent, and thus all Image.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction To Probability Models

ISBN: 9780128143469

12th Edition

Authors: Sheldon M Ross

See More Books

Question Posted: Sep 19, 2024 02:22 PM

See More Questions

In Exercises 1-2, the augmented matrix of a linear system has been reduced by row operations to the form shown. In each case, continue the appropriate row operations and describe the solution set of...
Suppose that a library has a taped recording of a historically significant speech. What advantages would there be to converting the speech to digital format?
Hays-Smith Company has 18,000 shares of 4% cumulative preferred stock of $125 par and 50,000 shares of $40 par common stock . The following amounts were distributed as dividends: Year 1 ......$...
39. Consider the one-dimensional symmetric random walk of Example 4.19, which was shown in that example to be recurrent. Let denote the long-run proportion of time that the chain is in state i. (a)...
In its first tax year, the Vasquez Estate generated $50,000 of taxable interest income and $30,000 of tax-exempt interest income. It paid fiduciary fees of $8,000. The estate is subject to a 35%...
Hiatt Corporation's balance sheet at December 31, 2009, is presented below. HIATT CORPORATION Balance Sheet December 31, 2009 Cash $24,600 Accounts payable $25,600 Accounts receivable 45,500 Common...
38. Capa plays either one or two chess games every day, with the number of games that she plays on successive days being a Markov chain with transition probabilities Capa wins each game with...
40. A particle moves on 12 points situated on a circle. At each step it is equally likely to move one step in the clockwise or in the counterclockwise direction. Find the mean number of steps for the...
Here are summary financial statements for a firm (in millions of dollars): The required return for equity is 12 percent, the required return for operations is 11 percent, and the required return for...
At another local coffee shop, wait times for a cup of plain coffee are normally distributed with a mean of $125 seconds and a standard deviation of 22 seconds. What percentage of wait times for a cup...
Luisa treats rice and wheat as perfect complements and spends all her food budget of $24/wk on these foodstuffs. If rice costs $3/lb, draw Luisa's price-consumption curve for wheat. Instructions: 1....
QUESTION 7 Graph 10-3 P Social Cost P Supply (Private Cost) P Demand Q1 Q This graph reflects the market for kiwifruit, where pesticide used by kiwifruit orchardists also unintentionally kills honey...
Sky Castle Manufacturing Company has two service departments, human resources and office services. It also has two production departments, assembly and finishing. The following information is made...
1. Do you think that a company should primarily be valued relative to the global industry to which it belongs, or to other national companies listed in its domestic home market? 2. Describe indexes...
Fill in the missing reagents a?h in the following scheme: CO2Et CH3 CO2Et 2. f 1. c 2. d 1. a 2. b 1. g 1. e 2. h CO2Et
Time Travel Publishing was recently organized. The company issued common stock to an attorney who provided legal services worth $25,000 to help organize the corporation. Time Travel also issued...
Suppose in Exercise 25 that the shooting ends when the target has been hit twice. Let m, denote the mean number of shots needed for the first hit when player i shoots first, i = 1, 2. Also, let P, i...
A, B, and C are evenly matched tennis players. Initially A and B play a set, and the winner then plays C. This continues, with the winner always playing the waiting player, until one of the players...
Let X and X2 be independent geometric random variables with respective parameters p, and p. Find P[|X - X| 1).

39. Consider the one-dimensional symmetric random walk of Example 4.19, which was shown in that example to

Question:

Step by Step Answer:

Introduction To Probability Models

Students also viewed these Business questions