Draw a transition diagram corresponding to the following stochastic matrix: 11 ГО.1 A = |0.9
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A: From the provided information, The transition matrix for P(2), P(3), P(4) can be obtained as:
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A: 1. First note that, P(k) = Pk So, P(2) = P2 = 0.80.20.60.42 = 0.80.20.60.4×0.80.20.60.4 =…
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A: From the given information, the transition matrix is, P=0.30.60.10.40.600.20.20.6 Given that the…
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A: The transition matrix of two state experiment is P=0.80.20.60.4
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A: See the attachment
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Q: Given the following transition matrix, what is the probability that the chain is in State 3 in the…
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A: Here a transition probability diagram is given and by using stochastic concept we solve this problem
Q: Suppose a two state experiment has the following transition matrix: 0.8 0.2 P = 0.6 0.4 Answer the…
A: Here the given transition matrix is P=0.80.20.60.4
Q: what is the probability of going to state 3 from state 1 after 3 steps?
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Q: (a) The following diagram shows the movement of Kenyan households among three income groups:…
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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- Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.Draw a transition diagram corresponding to the following stochastic matrix. refer to the image, pleaseLet us consider the population of people living in a city and its suburb and the migration within this population from the city and the suburbs to the city and the suburbs. The migration of these populations from and to each other is given by a stochastic matrix [.95 .03] P = |.05 .97 The entries in this matrix were obtained from collected data that demonstrates individuals are 95 % likely to remain in the city, 5 % likely to move from the city to the suburbs, 3 % likely to move from the suburbs to the city, and 97 % likely to remain in the suburbs. Now suppose in the year 2000 60 % or .6 percent of people live in the city and 40 % or .4 percent of people live in the suburbs. What will be the percentage of people living in the city be in the year 2001? What will be the percentage of people living in the suburbs be in 2002? Hint: Recall, for a general Markov Chain (S, ro, P) the initial vector ro is required to merely be a probability vector, that is, a vector whose entries add up to 1.…
- A medical researcher is studying the spread of a virusin a population of 1000 laboratory mice. During any week, there is an 80%probability that an infected mouse will overcome the virus, and during thesame week there is a 10% probability that a noninfected mouse will becomeinfected. Three hundred mice are currently infected with the virus. Pleaseanswer the following.1. What is the stochastic matrix that models this process?2. Compute how many mice will be infected next week.3. Compute how many mice will be infected in 3 weeks.4. Compute the steady-state matrix for this process.5. In the steady-state, how many mice are healthy and how many areinfected?A cellphone provider classifies its customers as low users (less than 400 minutes per month) or high users (400 or more minutes per month). Studies have shown that 40% of people who were low users one month will be low users the next month and that 30% of the people who were high users one month will high users next month. a. Set up a 2x2 stochastic matrix with columns and rows labeled L and H that displays these transitions b. After many months, how many % of the customers are high usersA major long-distance telephone company (company A) has studied the tendency of telephone users to switch from one carrier to another. The company believes that over successive six-month periods, the probability that a customer who uses A's service will switch to a competing service is 0.2 and the probability that a customer of any competing service will switch to A is 0.3. (a) Find a transition matrix for this situation. (b) If A presently controls 60% of the market, what percentage can it expect to control six months from now? (c) What percentage of the market can A expect to control in the long run? (a) Find a transition matrix for this situation. Let "Comp" stand for "a competing service." A Comp A Comp (Type integers or decimals.) (b) If A presently controls 60% of the market, what percentage can it expect to control six months from now? Company A can expect to control % of the market six months from now. (c) What percentage of the market can A expect to control in the long run?…
- Q18. Suppose M is a stochastic matrix representing the probabilities of transitions each day. Compute the matrix of compounded transition probabilities for 2 days into the future, or M². (Note, prior to multiplying matrices, the given components of M must be used to fill in the missing component [**] such that M is a stochastic matrix.) M = What is 0.80 0.14 0.06 m32 0.07 0.62 ** 0.35 0.41 0.24 in the matrix M²? (Round to 3 decimal places.)Q17. Suppose M is a stochastic matrix representing the probabilities of transitions each month. Compute the matrix of compounded transition probabilities for 3 months into the future, or M³. (Note, prior to multiplying matrices, the given components of M must be used to fill in the missing components [**] such that M is a stochastic matrix.) = M-[ What is m22 in the matrix M³? (Round to 3 decimal places.) 0.60 ** ** 0.60