5 3 A small company has two PCs A and B The time to failure for PC A is exponentially distributed with a mean of 1 A hours, and the time to failure for PC B is exponentially distributed with a mean of 1 B hours The PCs also have different repair times The time to repair PC A when it fails is exponentially distributed with a mean of 1 A hours, and the time to repair PC B when it fails is exponentially distributed with a mean of 1 B hours There is only one repair person available to work on both machines when failure occurs, and each machine is considered to be as good as new after it has been repaired a Give the state transition rate diagram of the process b What is the probability that both PCs are down c What is the probability that PC A is the first to fail given that both PCs have failed d What is the probability that both PCs are up

The Answer is in the image, click to view ...

Question: 5.3 A small company has two PCs A and B. The time to failure for PC A is exponentially distributed with a mean of 1=A

5.3 A small company has two PCs A and B. The time to failure for PC A is exponentially distributed with a mean of 1=λA hours, and the time to failure for PC B is exponentially distributed with a mean of 1=λB hours. The PCs also have different repair times. The time to repair PC A when it fails is exponentially distributed with a mean of 1=μA hours, and the time to repair PC B when it fails is exponentially distributed with a mean of 1=μB hours. There is only one repair person available to work on both machines when failure occurs, and each machine is considered to be as good as new after it has been repaired.

a. Give the state-transition-rate diagram of the process.

b. What is the probability that both PCs are down?

c. What is the probability that PC A is the first to fail given that both PCs have failed?

d. What is the probability that both PCs are up?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Probability And Stochastic Modeling Questions!

On January 2, 2013, Whistler Company purchased land for $450,000, from which it is estimated that 400,000 tons of ore could be extracted. It estimates that the present value of the cost necessary to...

A small company has two PCs A and B. The time to failure for PC A is exponentially distributed with a mean of 1/A hours, and the time to failure for PC B is exponentially distributed with a mean of...

Would you be able to put together another monthly cash flow analysis, this time for year 1? INCOME STATEMENT Year 1 269,115.00 48,930.00 20,388.00 338,433.00 $ $ $ $ COGS $ 113,940.00 $ 125,940.00 $...

Due Sunday, 11/20: Problems from Zimmerman text: 2-11, 2-44, Case 2-3, 7-7, and 7-20 Chapter Two The Nature of Costs Chapter Outline A. Opportunity Costs 1. Characteristics of Opportunity Costs 2....

5.1 A small company has two identical PCs that are running at the same time. The time until either PC fails is exponentially distributed with a mean of 1=. When a PC fails, a technician starts...

A small company has two identical PCs that are running at the same time. The time until either PC fails is exponentially distributed with a mean of 1/. When a PC fails, a technician starts repairing...

TERM PROJECT -1 Simulation of Operations in a Production Facility Consider a production facility, which manufactures a particular product in accordance with the "make-to-stock policy. The facility...

Appendix C Contract Negotiation Simulation Clean Right Partners Inc You will be provided with further information and instructions regarding the analysis and a possible renewal of the collective...

A space shuttle carries 5 computers onboard. Each computer has been designed with the reliability target of 90% for a 30 day-mission (24 hrs/day operation). (You may use Model 3 in the reliability...

1. A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation y-hat = 50,000 - 8 x The above equation implies that an a. increase of $1 in price is...

Company Background Juice-Perfect, a California-based juice manufacturing company, has 6 manufacturing plants around the US that produce various sizes and flavor of juices and smoothies. In recent...

Which of the following is not true of a codon? It extends from one end of a tRNA molecule. OIt may code for the same amino acid as another codon does. It consists of three nucleotides. O It never...

The manager of Able Car Inspection reviewed his monthly operating costs for the past year. His costs ranged from $4,000 for 1,000 inspections to $3,600 for 600 inspections. Requirements 1. Calculate...

F136. Block B rests upon a smooth surface. If the coefficients of static and kinetic friction between A and B are ms = 0.4 and mk = 0.3, respectively, determine the acceleration of each block if P =...

Draw all tertiary amines with molecular formula C 5 H 13 N, and provide a name for each isomer. Are any of these compounds chiral?