Proportion of time is the system shut down

Assignment Help Basic Statistics
Reference no: EM131005870

Consider an n-component system where component i, i = 1, ... , n, functions for an exponential time with rate λi and then fails; upon failure, repair begins on component i, with the repair taking an exponentially distributed time with rate μi . Once repaired, a component is as good as new. The components act independently except that when there is only one working com- ponent the system is temporarily shut down until a repair has been completed; it then starts up again with two working components.

(a) What proportion of time is the system shut down?

(b) What is the (limiting) averaging number of components that are being repaired?

Reference no: EM131005870

Questions Cloud

What is the total future worth of these savings : Southwestern Moving and Storage wants to have enough money to purchase a new tractor-trailer in 5 years at a cost of $290,000. If the company sets aside $100,000 in year 2 and $75,000 in year 3, how much will the company have to set aside in year ..
Conditional expected time : In a semi-Markov process, let tij denote the conditional expected time that the process spends in state i given that the next state is j. (a) Present an equation relating μi to the tij .
Proportion of passengers write angry letters : At what rate does the shuttle bus arrive at the terminal without any passengers? Suppose that each passenger that has to wait at the bus stop more than c time units writes an angry letter to the shuttle bus manager.
How much will you invest each year : How much will you invest each year? Even $50 a month is a start ($600 a year), you'll be surprised at how much it will earn. You can chose a number you think you can afford on your life circumstances or you can dream big
Proportion of time is the system shut down : (a) What proportion of time is the system shut down? (b) What is the (limiting) averaging number of components that are being repaired?
Average number of machines : We shall attempt to answer these questions: (a) What is the average number of machines not in use? (b) What proportion of time is each machine in use?
What is the economic service life of the machine : The operating cost of the dozer will be constant at $75,000 per year. At an interest rate of 12% per year, what is the economic service life of the machine? What is the associated AW value?
Number of storms during the ?rst : In good years, storms occur according to a Poisson process with rate 3 per unit time, while in other years they occur according to a Poisson process with rate 5 per unit time. Suppose next year will be a good year with probability 0.3. Let N(t) de..
Events of a nonhomogeneous poisson process : Let T1, T2, ... denote the interarrival times of events of a nonhomogeneous Poisson process having intensity function λ(t).

Reviews

Write a Review

Basic Statistics Questions & Answers

  Letnbspomega be a space of results and b one happening

question letnbspomega be a space of results and b one happening such that probability of b gt 0 pb gt 0. prove that

  Best-fit linear equation

For a sample of 100 employees, a personnel direc- tor has collected data on x 5 the number of years an employee has been with the firm and y 5 the number of shares of company stock the employee owns. The data are in file XR02044. a. Generate a scatte..

  The administrative cost of placing a costumer on backorder

appliance alley sells super clean washing machine. demand for super machine averages 65 units per month. super clean

  Evaluating probability that patient will take drug

Evaluate the probability that patient taking drug will experience flu symptoms.

  What is the probability of having the same number when

what is the probability of having the same number when rolling two dices? what is the probability of having at least

  Probability that he or she is a coalition voter

What is the probability that he or she is a Coalition voter (rounded to 3 decimal places)?

  What is the probability that it is brown

Find the probability that the selected student is the oldest or an only and find the probability that the selected student is enrolled in the College of Arts & Science.

  A box contains 17 pink 18 purple and 31 red jelly beans if

a box contains 17 pink 18 purple and 31 red jelly beans. if 13 jelly beans are selected at random what is the

  Show empty set symbol square root of x

Where Z~N(0,1). Also let [empty set symbol] denote the standard normal density function. Show that, d/dx [empty set symbol] (- square root of x) = -1/2 x^-1/2 [empty set symbol] (-square root of x).

  Question on anova in minitab

Samples are shown of volatility (coefficient of variation) for sector stocks over a certain period of time.

  Probability that more than three customers

What is the probability that more than three customers will be in the drive up teller system at the same time?

  Probability of drawing one or more aces

What is the probability of drawing one or more aces after discarding 5, 7, 8, and 9

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