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

Spectral Hydrogen Atom, Long before Bohr gave his theory of hydrogen atom, ...

Long before Bohr gave his theory of hydrogen atom, various scientists had observed experimentally, the spectral series of hydrogen atom. Bohr offered a theoretical explanation of t

Information systems development, report on comparing information system in ...

report on comparing information system in organisations

Question from inventory, CASE STUDY 1 3 MARKS An audit of the...

CASE STUDY 1 3 MARKS An audit of the accounting records of Loch Ness Ltd. for the year ending 30 June 2012 discovered that the ending inventory balance

Determine the probability of coding region , Using 1 st order models shown...

Using 1 st order models shown in homework 2 solution determine the probability of coding region in frame two for DNA fragment AGTAGCTTCCAG. Use only parameters provided in the hom

Index, where i found an assignment about index?

where i found an assignment about index?

Characteristics, explain the characteristics of statistics

explain the characteristics of statistics

Descriptive analysis , All Excel output should be copied into a single Word...

All Excel output should be copied into a single Word document where you must enter all of your responses to the questions below. Format the document professionally so it flows well

Calculate the Average Mean Temperature, The following are actual data showi...

The following are actual data showing the latitude of a sample of major cities in the northern hemisphere and their mean high annual temperature. latitude(X)

Normal distribution, Lifts usually have signs indicating their maximum capa...

Lifts usually have signs indicating their maximum capacity. Consider a sign in a lift that reads “maximum capacity 1400kg or 20 persons”. Suppose that the weights of lift-users are

Managerial accounting, The ABC Company''s old equipment for making subassem...

The ABC Company''s old equipment for making subassemblies is worn out. The company is considering two alternatives: a) Completely replacing the old equipment with new equipment b)

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