(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 2 2 1 (b) P = 20 0 1 0 22 3 00
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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
2 2
1
(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%2Fe7fe3a7d-dd00-4846-8e33-be5f611878eb%2Fg4jk4kk_processed.png&w=3840&q=75)
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- Explan hidden markov model and its application, include all relevant informationAt Suburban Community College, 40% of all business majors switched to another major the next semester, while the remaining 60% continued as business majors. Of all non-business majors, 20% switched to a business major the following semester, while the rest did not. Set up these data as a Markov transition matrix. (Let 1 = business majors, and 2 = non-business majors.) calculate the probability that a business major will no longer be a business major in two semesters' time.Determine whether the Markov chain with matrix of transition probabilities P is absorbing. Explain.
- Consider a Markov chain in the set {1, 2, 3} with transition probabilities p12 = p23 = p31 = p, p13 = p32 = p21 = q = 1 − p, where 0 < p < 1. Determine whether the Markov chain is reversible.Problem: Construct an example of a Markov chain that has a finite number of states and is not recurrent. Is your example that of a transient chain?We will use Markov chain to model weather XYZ city. According to the city’s meteorologist, every day in XYZ is either sunny, cloudy or rainy. The meteorologist have informed us that the city never has two consecutive sunny days. If it is sunny one day, then it is equally likely to be either cloudy or rainy the next day. If it is rainy or cloudy one day, then there is one chance in two that it will be the same the next possibilities. In the long run, what proportion of days are cloudy, sunny and rainy? Show the transition matrix.
- A coffee shop has two coffee machines, and only one coffee machine is in operation at any given time. A coffee machine may break down on any given day with probability 0.2 and it is impossible that both coffee machines break down on the same day. There is a repair store close to this coffee shop and it takes 2 days to fix the coffee machine completely. This repair store can only handle one broken coffee machine at a time. Define your own Markov chain and use it to compute the proportion of time in the long run that there is no coffee machine in operation in the coffee shop at the end of the day.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)What is the transaction probability p22 value ?
- For the attached Markov chain with the following transition probability matrix: The Markov chain has only one recurrent class. Determine the period of this recurrent class.Suppose the transition matrix for a Markov Chain is T = stable population, i.e. an x0₂ such that Tx = x. ساله داد Find a non-zeroDescribe the process of designing the operation of a discrete-time Markov chain?
