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 ||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 0.7The 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 It
- 00 000 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 equilibrium vector given the following transition matrix. 0.5 0.2 0.3 0.1 0.4 0.5 0.3 0.1 0.6 e1 = e2- e3 11 Place answer as a fraction.Q11. (a) What is the transition matrix for the given state diagram? 0.4 0.25 0.25 ole0.6 0.26 0.25 0.4 Let Xo = (00 0 1)" find X1, also write the condition for n time steps Xn. (b) Draw the state diagram for the given transition matrix 0.3 0 .7 0 .3 0 0 .7 0 .3 0 .7 0 1
- In a college class, 70% of the students who receive an “A” on one assignment will receive an “A” on the next assignment. On the other hand, 10% of the students who do not receive an “A” on one assignment will receive an “A” on the next assignment. Find and interpret the steady state matrix for this situation.Find the equilibrium vector for the transition matrix below. 0.4 0.4 0.2 0.4 0.3 0.3 0.4 0.2 0.4 The equilibrium vector is (Type an integer or simplified fraction for each matrix element.)Consider 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
- [.6 .3] .4 .7 Let P = be a transition matrix. Which one of the following vectors 10 4 is the steady-state vector for this transition matrix? Justify your response by demonstrating it is the steady- state vector by a computation that verifies the definition of steady-state vector.Consider the following. B = {(-20, -2, -4), (12, 1, 2), (-24, -2, -3)}, B' = {(7, -2, -2), (-3, 1, 1), (3, -1, 0)}, 1 1 2 -1 (a) Find the transition matrix from B to B'. [x]B' = p-1 = P = ↓ 1 (b) Find the transition matrix from B' to B.given the transition matrix, determine the Probability that large juveniles will survive to subadults: The offspring contribution of adults: Probability that hatchlings will survive into juveniles: Survival probability of adults: Probability of small juveniles remaining as small juveniles:
