Questions 3 and 4 refer to the following Markov Chain You are given the following Markov Chain: 0.5 0.2 0.2 0.1 0 0.2 0.4 0.2 0 0.2. 0.1 0.1 0.5 0.2 0.1 0 0 0 1 0 0 0 0 1 Assume that State 1 is associated with Row/Column 1, State 2 is associated with Row/Column 2, etc. uestion3: 0 What is the probability that the system will end up in State 4 given that it is now in State 1? uestion4 If the system is in State 3, how many time units on average will it spend in State 1 before it reaches either State 4 or State 5?

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