Calculate its stationary probabilities, Basic Statistics

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?

 

Posted Date: 3/26/2013 8:02:42 AM | Location : United States







Related Discussions:- Calculate its stationary probabilities, Assignment Help, Ask Question on Calculate its stationary probabilities, Get Answer, Expert's Help, Calculate its stationary probabilities Discussions

Write discussion on Calculate its stationary probabilities
Your posts are moderated
Related Questions
Suppose an individual has a lifetime earnings profile and expects to live for 4 Periods:             Earnings in Period 1:   $30             Earnings in Period 2:   $60

For the zero order hidden Markov model defined in homework 2 determine probability of coding state at the last nucleotide of the sequence AGTAG. Use parameters provided in the home

In a mathematics examination the average grade was 82 and the standard deviation was 5. all students with grade from 88 to 94 received grade of B. if the grade are approximately no

If there are 12 numbered balls in a basket (0-11), and you get 6 chances to pick a ball what are the odds to get two of the same number, 3 of the same number, 4, 5 and 6. I would

Agency funds,define it Organization money is used to account for the resources presented by the state as an agent for individuals, private companies, and other health systems. Orga


i need problems and their answers in a simplified way to understand the material because im really having troubles understanding how to solve conversion bonds and share warrants pr

1. It is often a good idea to start by visualizing the data. Time series data should have "time" on the horizontal axis. What are you going to have on the vertical axis? If you use


Suppose that cars pass a certain toll booth at an average rate of 10 cars per minute between the hours of 7 a.m. and 9 a.m. The random variable X counts the number of cars that pas