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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- Which of the following can be transition matrices of aMarkov process?Find the next 3 states of the initial state 0.1 using the transition matrices lo.6] [0.4 0.0 0.3] 0.2 0.6 0.5. Also find the steady state vector. l0.4 0.4 0.2.(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) = ...
- 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 It00 000 00 000 Consider the following. B = {(5, 2, 8), (2, 1, 4), (-4, –2, -6)}, B' = {(-2, –12, -6), (1, 4, 2), (3, 12, 7)}, [x]B' =3 (a) Find the transition matrix from B to B'. p-1 = (b) Find the transition matrix from B' to B. P = (c) Verify that the two transition matrices are inverses of each other. PP-1 = (d) Find the coordinate matrix [x]B, given the coordinate matrix [x]g. [x]B =Find the next TWO state matrices, X1 and X2, from the given initial-state and transition matrix. x = [0.1 X 0.3] 0.1 0.6 0.3 T = 0.2 0 0.8 0.3 0.4 0.3 0.1 0.7 0.2
- Approximate 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.)Ff.253.In some country, 90% of the daughters of working women also work and 20% of the daughters of nonworking women work. Assume that these percents remains 0.9 0.2 unchanged from one generation to the next. The corresponding transition matrix is A = 0.1 0.8 Consider a typical group of women, of whom 45% currently work. Use A and A² to determine the proportion of working women in the next two generations. The proportion of working women in the first generation is %. (Type an integer or a decimal.) %. The proportion of working women in the second generation is (Type an integer or a decimal.)
- Let P = (0.9 0.9 0.1 0.2 0.8 with two states A and B. be a transition matrix for a Markov Chain 1. What proportion of the state A population will be in state B after two steps Number 2. What proportion of the state B population will be in state B after two steps Number 3. Find the steady state vector x x1= Number X2= Number Write the results accurate to the 3rd decimal placeq7Consider the two state switch model from the videos with state space S = {1,2} and transition rate matrix where X = 1 and u = 1.2. (a) If the system is in state 1, what is the mean time until it transitions to state 2? Number (b) Evaluate P11 (0) Number (c) Evaluate P11 (0.6) Number (d) Evaluate P21 (0.6) Number