Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

Probability for availability and failure of the system

A software system is designed so that after every hour of normal operation, it stops and relaunches from its initial state. This process is called software rejuvenation. Presume that the mean time to failure for the software is measured to be 10 hours and mean time to repair is 5 minutes. Repair means restoring the software to an operating condition by relaunching it from its initial state.

a. What is the reliability of system after 4 successful hours of execution and four successful rejuvenations?

b. What is the probability of failure of the system for any 4 hours of operation?

c. What is the availability of the system where R(t) = e -λt , where R is reliability, c is the reciprocal of the mean time to failure, and t is the execution time. Note that ex is approximately (1 + x) for small x.
Using R(t) = e -λt

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M918174

Have any Question? 


Related Questions in Statistics and Probability

Suppose a point in two-dimensional cartesian space is

Suppose a point in two-dimensional Cartesian space, , is equally likely to fall anywhere on the semicircle defined by X 2 + Y 2 = 1 and Y>=0. Find the PDF of Y, f Y (y).

The average age of a part-time employee at a ski resort has

The average age of a part-time employee at a ski resort has historically been 37 years. A random sample of 50 part-time employees in 2011 had a sample mean age of 38.5 years with a sample standard deviation of 16 years. ...

The three letters c a and t represent the states of a

The three letters C, A, and T represent the states of a word-generating system. Let the initial state probability vector be (1/3 1/3 1/3) for the three letters, respectively. The transition matrix is given as What is the ...

Supposenbspnbspis a circular gaussian random variable whose

Suppose   is a circular Gaussian random variable whose PDF is described by Equation, Find the characteristic function associated with this complex Gaussian random variable,    Do you get the same (or different) results a ...

Supposenbspnbspare a sequence of independent and

Suppose   are a sequence of independent and exponentially distributed random variables with Assuming that is an odd number    for some integer K ): (a) Find the PDF of the median of the sequence. (b) Find the expected va ...

Letnbspnbsprepresent a three-dimensional vector of random

Let   represent a three-dimensional vector of random variables that is uniformly distributed over the unit sphere. That is, (a) Find the constant c. (b) Find the marginal PDF for a subset of two of the three random varia ...

A shot noise process with random amplitudes is defined

A shot noise process with random amplitudes is defined by where the are a sequence of points from a Poisson process and the A i  are IID random variables which are also indpendent of the Poisson points. (a) Find the mean ...

Which of the following statements is not true concerning

Which of the following statements is not true concerning the New England Restraining Act? A. It banned New England's commerce with the British West Indies B. It prohibited commerce between New England and any place excep ...

Hotels are rated on the basis of one to five stars the

Hotels are rated on the basis of one to five stars. The Holiday Stay Hotel chain rated all 50 of it's hotels. The data is shown in the diagram below. Number of Stars  Frequency  1            7 2 10 3 22 4 8 5 3 1. Find t ...

Let xnnbspbe a sequence of iid gaussian random variables

Let X n  be a sequence of IID Gaussian random variables. Form a new sequence according to Determine which forms of convergence apply to the random sequence, Z n.

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

A cola-dispensing machine is set to dispense 9 ounces of

A cola-dispensing machine is set to dispense 9 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manuf

What is marketingbullwhat is marketing think back to your

What is Marketing? • "What is marketing"? Think back to your impressions before you started this class versus how you

Question -your client david smith runs a small it

QUESTION - Your client, David Smith runs a small IT consulting business specialising in computer software and techno

Inspection of a random sample of 22 aircraft showed that 15

Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise

Effective hrmquestionhow can an effective hrm system help

Effective HRM Question How can an effective HRM system help facilitate the achievement of an organization's strate