3. For each of the following regular transition matrices, find the associ- ated steady state vector. 0.3 0.9 (a) 0.7 0.1 0.8 0.3 (b) 0.2 0.7 0.3 0.1 0.5 (c) 0.4 0.8 0.1 0.3 0.1 0.4
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- Consider the transition matrix 0.7 0.3 0.1 P=0.2 1 10 0.3 0.1 25 45 Find the steady state vector: 18 ||Q15D. Use the transition diagram to express the stochastic matrix corresponding to the states and transitions represented in this system. 0.8 A B 0.8 0.4 A 0.2 0.6 B A B 0.8 0.6 AB A 0.2 0.4 B L A B 0.8 0.2 0.6 0.4 A B 0.6 0.8 0.4 0.2 B A А JAN B A B 0.4 0.6 A 0.2 0.8 B A 0.2 0.6 B 0.4Find X, (the probability distribution of the system after two observations) for the distribution vector X, and the transition matrix T. 0.25 0.1 0.1 0.2 0.40 T = 0.8 0.7 0.4 = 0.35 0.1 0.2 0.4 X2 =
- Find X, (the probability distribution of the system after two observations) for the distribution vector X, and the transition matrix T. 0.35 0.1 0.1 0.2 Xo = 0.50 T = 0.8 0.7 0.4 0.15 0.1 0.2 0.4 X2 =(1) Find the two-step transition matrix .18 .7 .12 ... P(2) = 1 .24 .42 .34 (2) Find the three-step transition matrix P(3) = (3) Find the four-step transition matrix P(4) = ...Which of the transition matrices are regular? Select all that apply: A = [0.5 0.5 E = 0.6 0.4 O B 0.3 0.7] %3= 0.2 0.8 OD= 0.7 0.3
- 15C. Use the transition diagram to express the stochastic matrix corresponding to the states and transitions represented in this system. O 1519 0.8 L A B 0.8 0.2 0.7 0.3 A B 0.3 0.2 0.7 0.8 A www AB A B 0.7 0.8 А 0.3 0.2 The A B B 0.8 0.3 A 0.2 0.7 B AB A B 0.3 0.7 A 0.2 0.8 B P A 0.2 0.3 B 0.7Find the steady-state vector for the transition matrix in the attached picture. Thanks.0.80 0.10 0.10 Find the stationary matrix for the transition matrix P = 0.15 0.80 0.05 0.20 0.70 0.10 Round the numbers in your answer to the nearest hundredth. OA. [1.00 0.00 0.00] OB. [0.33 0.40 0.27] OC. [0.44 0.48 0.08] D. [0.33 0.67 0.00]
- The alumni of State University generally contribute (C) or do not contribute (NC) according to the following pattern: 65% of those who contribute one year will contribute the next year; 15% of those who do not contribute one year will contribute the next. The transition matrix is the following: Next Year C NC c[0.65 0.35] Year NC 0.15 0.85 ] Present Use this transition matrix to find the steady-state distribution of State University alumni who contribute and who do not contribute. (Round your answers to one decimal place.) contribute % do not contribute % Need Help? Read ItApproximate the stationary matrix S for the transition matrix P by computing powers of the transition matrix P. -[: P= 0.33 0.67 0.17 0.83 S= 0 (Type an integer or decimal for each matrix element. Round to four decimal places as needed.)Use the matrix of transition probabilities P and initial state matrix x, to find the state matrices x, X2, and x3. [0.6 0.1 0.1] 0.1 P = 0.3 0.7 0.1 Xo = 0.2 0.1 0.2 0.8 0.7 X1 = X3 Need Help? Read It
