(a) P= State 0 123 00012 о го о 33 11 0 0 0 20100 3010 3 0 1 0 0 State 0123 0 [1000] 01 0 1 2 2 (b) P = 20 0 1 0 22 3 00
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Classification of States of a Markov Chain
Given the following (one-step) transition matrices of a Markov chain, determine the classes of the Markov
chain and whether they are recurrent.
![(a) P=
State 0 123
00012
о го о
33
11 0 0 0
20100
3010
3 0 1 0 0
State
0123
0 [1000]
01 0
1
2 2
(b) P =
20
0
1
0
22
3
00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71a93994-cfe8-4bd0-bacf-87e96face337%2F9254e865-44dc-470f-828a-27283ae5f60b%2F105of4a_processed.png&w=3840&q=75)
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- Consider the following consumer function an answer: (Picture)Next Generation Red Pink White A given plant species has red, pink, or white flowers according to the genotypes RR, RW, and WW, respectively. If each type of these genotypes is crossed with a pink-flowering plant (genotype RW), then the transition matrix is as shown to the right. Red 0.5 0.5 This Pink 0.25 0.5 0.25 Generation White 0 0.5 0.5 Assuming that the plants of each generation are crossed only with pink plants to produce the next generation, show that regardless of the makeup of the first generation, the genotype composition will eventually stabilize at 25% red, 50% pink, and 25% white. (Find the stationary matrix)TOPIC: MARKOV CHAINSThe time variation from one day to the next is assumed to form a Markov chain, with the transition matrixfollowing:[table]Given that today Sunday is cloudy, what is the probability that Wednesday will be sunny?
- Determine whether the statement below is true or false. Justify the answer. If (x) is a Markov chain, then X₁+1 must depend only on the transition matrix and xn- Choose the correct answer below. O A. The statement is false because x, depends on X₁+1 and the transition matrix. B. The statement is true because it is part of the definition of a Markov chain. C. The statement is false because X₁ +1 can also depend on X-1 D. The statement is false because X₁ + 1 can also depend on any previous entry in the chain.Modeling mathematics Please only chooseFind the 3-step transition matrix.
