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

quality, HOW I CAN WORK UPON EWMA CHART

HOW I CAN WORK UPON EWMA CHARTS?

Angler survey, Angler survey A survey used by sport fishery managers t...

Angler survey A survey used by sport fishery managers to calculate the total catch, fishing effort and catch rate for the given body of water. For instance, the whole effort m

Find the pv of the depreciation tax, PC Shopping Network may upgrade its mo...

PC Shopping Network may upgrade its modem pool. It last upgraded 2 years ago, when it spent $115 million on equipment with a life of 5 years and a salvage value of $15 million. The

Quantitative analysis, How has quantitative analysis changed the current sc...

How has quantitative analysis changed the current scenario in the management world today?

Price level change, how effect changes in prices to a financial statement?

how effect changes in prices to a financial statement?

Correlation and regression problems, CORRELATION & REGRESSION: 1)  What...

CORRELATION & REGRESSION: 1)  What do you mean by the term correlation? 2)  Point out the differences between coefficient of correlation and regression. 3)  If the correl

Inventory, An audit of the accounting records of Loch Ness Ltd. for the yea...

An audit of the accounting records of Loch Ness Ltd. for the year ending 30 June 2012 discovered that the ending inventory balance was over-valued by $35,000. Upon further investig

Mean and standard deviation, We have two applicants who are applying for a ...

We have two applicants who are applying for a job. They both took the high school exit exam, but different ones. Shannon took the ACT and scored 26, Frank took the SAT scored 1350.

Find karl pearson''s correlation coefficient, Find Karl Pearson's correlati...

Find Karl Pearson's correlation coefficient between the sales and expenses from the data given below:

Detemine lambda , A.  A computer rejuvenation facility receives systems fro...

A.  A computer rejuvenation facility receives systems from the fleet at 24 systems/day (assume this is a Poisson process).  It takes the triage function 30 minutes (assumed exponen

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