In Exercises 11–24, you are given a transition matrix P and initial distribution vector v. Find (a) the two-step transition matrix and (b) the distribution
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Finite Mathematics
- Redo exercises 17 and 18 in section 8.1 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 twice 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 three times 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. (2) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? (3) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?arrow_forwardIf the probability vector is [0.6 0.4 ] and the transition matrix is (0.5 0.5) (0.9 0.1), find the resulting 18th probability vector.arrow_forwardonly HANDWRITTEN answer needed ( NOT TYPED)arrow_forward
- 5.33 Refer to Exercise 5.27 and calculate the covariance between X and Y.arrow_forwardPart II: Sections 2.1 - 2.7 8. Assume that X is a geometric random variable with p=0.32. (a) Compute P(X > 13[X > 3). (b) Compute E(X²).arrow_forwardConsider the transition matrix P = [0.11 1225 7 10 0.4 0.1 20.2 5 Find the steady state vector: 000 18arrow_forward
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