Find the state vector x3 for the given stochastic matrix and initial state vector. A = 2 3 5 1 2 5 -8 , X0 =

Please help with both parts, thank you so much in advanced !

The given matrix is an absorbing stochastic matrix in standard form. Identify R and S and compute the fundamental matrix and the stable matrix 1 0 0 0.1 0.2 0 1 0 0.1 0.2 0 0 1 0 0.1 0 0 0 0.5 0 0 0 0.3 0.5 0.5 R= (Simplify your answer.) 0.3 0.5 0.1 0.2 S= 0.1 0.2 (Simplify your answer.) 0 0.1 The fundamental matrix is (Simplify your answer.)

M * 00 T For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.13 probability of failure. Complete parts (a) through (c) below. ..... (a) Would it be unusual to observe one component fail? Two components? be unusual to observe one component fail, since the probability that one component fails, than 0.05. It V be unusual to observe two components fail, since the probability that two components fail, than 0.05. (Type integers or decimals. Do not round.) (b) What is the probability that a parallel structure with 2 identical components will succeed? (Round to four decimal places as needed.) (c) How many components would be needed in the structure so that the probability the system will succeed is greater than 0.9999? (Type a whole number.) O Time Remaining: 03:45:08 Next DEC 15 MacBook Air DD F7 F2 F3 F8 & 2# $ 6 R. K H. C. B. N