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le) Give an infinite series expression for the quantity Po? for each i {0,1,...,5). (1) Show that your answers to part (e) satisfy the Kalmogarov

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le) Give an infinite series expression for the quantity Po? for each i {0,1,...,5). (1) Show that your answers to part (e) satisfy the Kalmogarov forward equations for p I=0.1.....5. QUE Question 6 (12 marks) A CTMC (X.)>0 with the following transition diagram 3 starts in state 0. ie. P(Xo = 0) = 1. Let T} = infft > 0: Xi =i} for i e{0.1. le) Give an infinite series expression for the quantity Po? for each i {0,1,...,5). (1) Show that your answers to part (e) satisfy the Kalmogarov forward equations for p I=0.1.....5. QUE Question 6 (12 marks) A CTMC (X.)>0 with the following transition diagram 3 starts in state 0. ie. P(Xo = 0) = 1. Let T} = infft > 0: Xi =i} for i e{0.1

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