Question: a. Define the rate matrix b. Define the probability matrix Pif c. What is the average time spent in state 1 ? d.

Consider the following rate diagram for a system modeled by a Markov Process 5 6 4 9 2 1 3 a. Define the rate matrix Λ

b. Define the probability matrix Pif

c. What is the average time spent in state 1 ?

d. What is the mean time between visits to state 1 ?

e. The failure states for the system are states 0 and 3 and the operational states are states 1 and 2 . The steady state probability distribution for the states is given by (P0,…,P4)=(0.24,0.09,0.28,0.39). What is the mean duration of a system failure?

Consider the following rate diagram for a system modeled by a Markov Process 5 6 4 9 2 1 3

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