Question

Question 4t Write the correct values in the boxes. For this question, working is not required and will not be mar For parts (a) - (e), consider the Markov process with transition diagram at right and steady state vector SA (a) When p 0.2 and-0.3 the value of sA is b) When p 0.6 and SA 0.6 the value of g is Hint: In a steady state, the probability that a step is a switch from state B to state.A probability that the step is a switch from A to B. The probability that a step is a switch from one state to another depends not only on the relevant transition probability, but also on the probability that the system is in the first state to start with. (c) If SA = 0.8 then the maximum possible value of p is Hint: Make use of the method you used to solve (b). For parts (d) - (f), consider the Markov process with transition diagram at right and steady state vector S A SC These questions are extensions of those above, and similar hints apply 0.3 and r 0.6 the value of s A is (d) When p- 0.2, (e) when p = 0.6, q = 0.8 and sA-0.4 the value of r is 0.4 (0) If S 0.5 then the maximum possible value of pis 0.1

Answer 1

0.4 Nha qweu state thanuition. 13 the thamsihen probatility mathix tion s-, s^) .de tta 사us,オ uut ·state veetr.

As A (113) 2 0 8 Gy .to-2(1-q.-. 1)-O ト 못 o-g '

value max omuげr1. bees ible maxi mum pesl vabe İven state transi hon diagham n the i 2 ВС Calculate as /uvious.usingeynsST P ST A 2 2 S