You are given the following Markov Chain:0.4 0 0.4 0.20.1 0.1 0.800.2 0.5 0 0.30.20 0.2 0.6If the system in in State 1, how many time units on average are required for the system to reach State 3for the first time? (3 d.p.)

In this problem, we are presented with a Markov Chain represented as a transition matrix.The Markov…

Answered: You are given the following Markov…

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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A spacecraft navigation system consists of components of two types - A and B - connected in a series-parallel arrangement, as in Figure 1.2. A B A B B Figure 1.2 Illustration of series-parallel system The system will function as long as at least one component of each type functions. The probability that a type A component will function correctly throughout the planned lifetime of the spacecraft is 0-9; the corresponding probability for a component of type B is 0-8. Components may be assumed to fail independently of one another. The numbers of components of the two types may be varied in order to adjust the probability of failure of the navigation system. (a) Show that a requirement that the probability of failure of the entire system should be less than 1% may be met by using three components of each type (as in the diagram above). (b) If components of type A weigh 1 kg, while those of type B weigh 2 kg, what is the composition of the most reliable navigation system weighing 11 kg or…
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You are given the following Markov Chain: 0.4 0 0.4 0.2 0.1 0.1 0.8 0 0.2 0.5 0 0.3 0.2 0 0.2 0.6 If the system in in State 1, how many time units on average are required for the system to reach State 3 for the first time? (3 d.p.)