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Each day a machine breaks with probability p, 0 < p < 1, independently of how long it has been in service. After it breaks, it is replaced by an identical new machine. Let Xn denote the age of the current machine on day n. For example, if we start with a new machine on day 1, and that machine lasts 3 days and its replacement lasts 2 days, then the states visited by the chain starting on day 1 are 0, 1, 2, 3, 0, 1, 2, 0. The process X₁; n ≥ 1 is a time-reversible Markov chain. true false

Each day a machine breaks with probability p, 0 < p < 1, independently of how long it has been in service. After it breaks, it is replaced by an identical new machine. Let Xn denote the age of the current machine on day n. For example, if we start with a new machine on day 1, and that machine lasts 3 days and its replacement lasts 2 days, then the states visited by the chain starting on day 1 are 0, 1, 2, 3, 0, 1, 2, 0. The process X₁; n ≥ 1 is a time-reversible Markov chain. true false

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Each day a machine breaks with probability p, 0 < p < 1, independently of how long it has been in service. After it breaks, it is replaced by an identical new machine. Let Xn denote the age of the current machine on day n. For example, if we start with a new machine on day 1, and that machine lasts 3 days and its replacement lasts 2 days, then the states visited by the chain starting on day 1 are 0, 1, 2, 3, 0, 1, 2, 0. The process Xn; n ≥ 1 is a time-reversible Markov chain. true false
Transcribed Image Text:Each day a machine breaks with probability p, 0 < p < 1, independently of how long it has been in service. After it breaks, it is replaced by an identical new machine. Let Xn denote the age of the current machine on day n. For example, if we start with a new machine on day 1, and that machine lasts 3 days and its replacement lasts 2 days, then the states visited by the chain starting on day 1 are 0, 1, 2, 3, 0, 1, 2, 0. The process Xn; n ≥ 1 is a time-reversible Markov chain. true false
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