Calculate its stationary probabilities, Basic Statistics

Assignment Help:

A small specialized workshop is used to perform periodic check-up on some high-tech devices. The check up is made in three stages whose durations are independent random variables with geometric distribution with averages of 2, 3 and 1 days, respectively, for the 1st, 2nd and 3rd stage. The workshop issmall, only one device can be processed at once. In addition, when a step is completed, the next step of the work can not begin until the beginning of the next day business. When step 3 is completed, the development of the device is terminated and the Work resumed on another device at the beginning of the next business day. Let Xn be the step During the day number n.

(A) show that {Xn, n = 0, 1, 2,. . .} Is an irreducible Markov chain and build its matrix of transition probabilities.

(B) Calculate its stationary probabilities. Note: no matrix inversion is required.

(C) Suppose that the first step requires the presence of three (3) technicians while the second stage involves one(1),and third  requires two (2). On average how many technicians are working each  day?

(D) On average, how many technician-day does it take to make the check-up of a device like this?

 


Related Discussions:- Calculate its stationary probabilities

Define BIENNIUM, Define BIENNIUM A 24-month fiscal era. In Washington, the...

Define BIENNIUM A 24-month fiscal era. In Washington, the biennium expands from July 1 of odd numbered years to June 30 of odd numbered or more years.

Management accounting, Defination,Advantages and Limitation, Proper Managem...

Defination,Advantages and Limitation, Proper Management of company,

Business tax accounting , #questLester rents his vacation home for 6 months...

#questLester rents his vacation home for 6 months and lives in the home during the other 6 months of 2010. The gross rental income from the home is $4,500. For the entire year, rea

Introduction of management accounting, Introduction of Management Accountin...

Introduction of Management Accounting Management accounting or managing sales is worried with the conditions and use of sales details to professionals within companies, to off

Conceptual structure of financial, conceptual structure of financial In...

conceptual structure of financial In financial accounting, There were many breaks in the conceptual structure of individual forums for example both the forums hadn't conducted

Probability assessments, According to a weather forecaster's subjective pro...

According to a weather forecaster's subjective probability assessments, the probability of record-breaking rain during this year in Jamshedpur is 0.01 . However, if Ranchi has a r

Budgeting, What is the basis for factory overhead absorption

What is the basis for factory overhead absorption

Books of original entry, Books of original entry Books of original entranc...

Books of original entry Books of original entrance are a record in which the various or many other transactions are initially and formally recorded and serve up as the straight so

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd