Consider a factory that has 3 identical machines. Each day that a machine is operational it may fail overnight with probability 0.1 (assume machines are independent). The factory only has one repairman. So, if there are one or more machines that are failed, the repairman can only work on 1 at a time. If the repairman works on a machine, there is an 80% chance that the machine will be operational the next day (regardless on how many times it has been worked on). You are interested in the number of machines that are operational each day. Model the system as a DTMC. Define Xn, enumerate S, provide P and draw the state transition diagram.

Consider a factory that has 3 identical machines. Each day that a machine is operational it may fail overnight with probability 0.1 (assume machines are independent). The factory only has one repairman. So, if there are one or more machines that are failed, the repairman can only work on 1 at a time. If the repairman works on a machine, there is an 80% chance that the machine will be operational the next day (regardless on how many times it has been worked on). You are interested in the number of machines that are operational each day. Model the system as a DTMC. Define Xn, enumerate S, provide P and draw the state transition diagram.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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