Question

those the Answer I NEED THE STEPS THAT SHOW THE SAME ANSWER below

Problem 1. A manufacturer has a machine that, when operational at the beginning of a day, has a probability of 0.13 of breaking down sometime during the day. When this happens, the repair is done the next day and completed at the end of that day (a) Formulate the evolution of the status of the machine as a Markov chain by identifying three possible states at the end of each day, and then constructing the (one-step) transition matrix (b) Find the expected first passage time Mij from state i to state j, for al i and j. Use these results to identify the expected number of full days that the machine will remain operational before the next breakdown after a repair is completed. (c) Now suppose that the machine already has gone 15 full days without a breakdown since the last repair was completed. How does the expected number of full days here- after that the machine will remain operational before the next breakdown compare with the corresponding result from part (b) when the repair had just been completed? Explain. 0.87 0.13 0 0.87 0.13 0 111.299, u22-8.333, H33-8.333 (U13 8.692 (742) -(1.2090) 7.692 U12 Изг μ21 (u31 1.299 Does not affect

Answer 1

Giver xn-state of 'he muchine at the end of the day 87 0.13 ,, -1-o-87-01324.692

3.692 -333 ん( 14 0.13 1.299 っ9.333 서,' Hence, ).zqg 22. ^ 시, 2 : 구·692 시시 21: 2-299 ㅆ32-7-012 By mokovion Propeoty 22-692

3.692 -333 ん( 14 0.13 1.299 っ9.333 서,' Hence, ).zqg 22. ^ 시, 2 : 구·692 시시 21: 2-299 ㅆ32-7-012 By mokovion Propeoty 22-692