1. A computer is inspected at the end of every hour. It is found to be either working (up) or failed (down). If thecomputer is found to be up, the probability of its remaining up for the next hour is 0.95. If it is down, thecomputer is repaired, which may require more than 1 hour. Whenever the computer is down (regardless of howlong it has been down), the probability of its still being down 1 hour later is 0.5. The (one-step) transition matrixfor this Markov chain is given by-[0.⁹5 0.05].P =(a) find the µ¡¡ (the expected first passage time from state i to state j) for all i and j.(b) Use the results from part (a), to answer the following questions. What is the expected number of hours thatthe computer will be keep working? What is the expected number of hours that the computer will beworking again after it fails?

Given the one-step transition matrix of the Markov chain as P=0.950.050.50.5

Answered: 1. A computer is inspected at the end…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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