In Exercises 25–36, you are given a transition matrix P. Find the steady-state distribution
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- 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 Itarrow_forward8.arrow_forward(Revision.) Let X = Wo.5 + 0.5W1 – 2W2 – W3, where (W1, t > 0) is standard BM. Find the expectation E(X²).arrow_forward
- Redo exercises 7 and 8 in section 8.3 of your textbook, about the small animal who lives in an area with woods and meadows, using the following data: If the animal is in the woods on one observation, then it is four times as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is as likely to be in the meadows as the woods on the next observation. Assume that state 1 is being in the meadows and that state 2 is being in the woods. (1) Find the transition matrix for this Markov process. P = (2) If the animal is twice as likely to be in the meadows as in the woods, find the state vector X that represents this information? (3) Using the state vector determined in the preceding part as the initial state vector, find the probability that the animal is in the meadow on the third observation after the initial one. (4) If the probability that the animal will be the meadow at a specific point in time is 0.05, how many…arrow_forward5.33 Refer to Exercise 5.27 and calculate the covariance between X and Y.arrow_forwardwrite down the transition probability matrix for the examplearrow_forward
- The index model has been estimated for stocks A and B with the following results: RA = 0.03 + 0.8RM + eA. RB = 0.01 + 0.9RM + eB. σM = 0.35; σ(eA) = 0.20; σ(eB) = 0.10. The covariance between the returns on stocks A and B is A) 0384. B) 0.0406. C) 0.0882. D) 0.0772. E) 0.4000. 2) Analysts may use regression analysis to estimate the index model for a stock. When doing so, the slope of the regression line is an estimate of A) the α of the asset. B) the β of the asset. C) the σ of the asset. D) the δ of the asset. Choose correct answer with justification.arrow_forwardConsider 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 ||arrow_forwardDraw a transition diagram corresponding to the stochastic matro Which of the following is the transition diagram for this matrix? OA 02 OC 10.2 08 05 203 08563 02 1 05 0003 0.8 0 0.2 OB. CO ERLarrow_forward
- B9arrow_forwardPlease give me a solution..arrow_forwardExamine the stochastic/transition matrix below. 0 0 101 0.8 0.1 2 04 0.4 0.1 0.1 30 02 0.8 Question: a. is the transıtion matrix conditions above recurrent, stationary or irreducible? Explain! b determine the periodicity of each state!arrow_forward
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