Homework Answers
Answer :
the correct answer is
option A
Because is a shut cycle and after length we return at same position
consequently intermittent hence periodic
what's more, we return at begining
consequently repetitive hence recurrent
(A) closed , recurrent , a periodic
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The possible transitions between the states of a Markov chain are shown in the diagram below...
The possible transitions between the states of a Markov chain are shown in the diagram below...
The possible transitions between the states of a Markov chain are shown in the diagram below 3 6 2 7 The communicating classes are (1, 2). (3, 4) and (5, 6, 7) Select the option that gives a correct description of the class (5, 6, 7) Select one: Closed, recurrent, aperiodic. O Closed, transient, aperiodic O Closed, recurrent, periodic with period 2. Closed, transient, periodic with period 2 Not closed, recurrent, aperiodic Not closed, transient, aperiodic. Not closed, recurrent, periodic...
The possible transitions between the states of a Markov chain are shown in the diagram below...
The possible transitions between the states of a Markov chain are shown in the diagram below 847 The communicating classes are (1, 3), (2, 4) and (5, 6, 7,8) Select the option that gives a correct description of the class (1, 3. Select one O Closed, recurrent, aperiodic O Closed, transient, aperiodic. O Closed, recurrent, periodic with period 2 O Closed, transient, periodic with period 2 Not closed, recurrent, aperiodic. Not closed, transient, aperiodic. Not closed, recurrent, periodic with period...
The possible transitions between the states of a Markov chain are shown in the diagram belo...
The possible transitions between the states of a Markov chain are shown in the diagram belo The communicating classes are (1, 2). (3, 4) and (5, 6, 7 Select the option that gives a correct description of the class (3,4) Select one: Closed, recurrent, aperiodic Closed, transient, aperiodic Closed, recurrent, periodic with period 2 Closed, transient, periodic with period 2 Not closed, recurrent, aperiodic Not closed, transient, aperiodic. Not closed, recurrent, periodic with period 2 Not closed, transient, periodic with...
The possible transitions between the states of a Markov chain are shown in the diagram belo...
The possible transitions between the states of a Markov chain are shown in the diagram belo The communicating classes are (1, 2). (3. 4) and (5. 6. 7 Select the option that gives a correct description of the class (3,4) Select one: Closed, recurrent, aperiodic Closed, transient, aperiodic Closed, recurrent, periodic with period 2 Closed, transient, periodic with period 2 Not closed, recurrent, aperodic Not closed, transient, aperiodic Not closed, recurrent periodic with period 2 Not closed, transient, periodic with...
The possible transitions between the states of a Markov chain are shown in the diagram belo...
The possible transitions between the states of a Markov chain are shown in the diagram belo The communicating classes are (1, 2). (3. 4) and (5. 6. 7 Select the option that gives a correct description of the class (3,4) Select one: Closed, recurrent, aperiodic Closed, transient, aperiodic Closed, recurrent, periodic with period 2 Closed, transient, periodic with period 2 Not closed, recurrent, aperodic Not closed, transient, aperiodic Not closed, recurrent periodic with period 2 Not closed, transient, periodic with...
2. The transition probabilities for several temporally homogeneous Markov chains with states 1,.,n appear below. For each: . Sketch a small graphical diagram of the chain (label the states and draw...
2. The transition probabilities for several temporally homogeneous Markov chains with states 1,.,n appear below. For each: . Sketch a small graphical diagram of the chain (label the states and draw the arrows, but you do not need to label the transition probabilities) . Determine whether there are any absorbing states, and, if so, list them. » List the communication classes for the chain . Classify the chain as irreducible or not . Classify each state as recurrent or transient....
2. The transition probabilities for several temporally homogeneous Markov chains with states 1,.,n appear below. For each: . Sketch a small graphical diagram of the chain (label the states and draw...
2. The transition probabilities for several temporally homogeneous Markov chains with states 1,.,n appear below. For each: . Sketch a small graphical diagram of the chain (label the states and draw the arrows, but you do not need to label the transition probabilities) . Determine whether there are any absorbing states, and, if so, list them. » List the communication classes for the chain . Classify the chain as irreducible or not . Classify each state as recurrent or transient....
Q.5 6 marks Markov chain with the following (a) Draw the state transition diagram for transition matrix P 0 0.5 0 0.5 0...
Q.5 6 marks Markov chain with the following (a) Draw the state transition diagram for transition matrix P 0 0.5 0 0.5 0 0.2 0.8 0 0 O P = \ 0 0.1 0 0.2 0.7 0 0.9 0 0.1 0 0 0 0 0 1 on five states 1,2,3,4,5} 2 marks (b) Identify the communicating classes of the Markov chain and identify whether they are open or closed. Write them in set notation and mark them on the transition...
1. A Markov chain (x,, n 2 01 with state space S (0,1,2,3,4,5] has transition proba-...
1. A Markov chain (x,, n 2 01 with state space S (0,1,2,3,4,5] has transition proba- bility matrix Γα β/2 01-α 0 0 0 0 1/32/3_ββ/2 β/2 β/2 1/2 0 0 0 0 (a) Determine the equivalence classes of communicating states for any possible choice of the three parameters α, β and γ; (b) In all cases, determine if the states in each class are recurrent or transient and find their period (or determine that they are aperiodic)
A Markov chain {Xn,n 2 0) with state space S 10, 1, 2,3, 4,5) has transition...
A Markov chain {Xn,n 2 0) with state space S 10, 1, 2,3, 4,5) has transition proba- bility matrix 0 1/32/3-ββ/2 01-α 0 β/2 0 0 0 0 0 0 β/2 β/21/2 0 1. Y (a) Determine the equivalence classes of communicating states for any possible choice of the three parameters α, β and γ; (b) In all cases, determine if the states in each class are recurrent or transient and find their period (or determine that they are aperiodic)
The possible transitions between the states of a Markov chain are shown in the diagram below 3 6 2 7 The communicating classes are (1, 2). (3, 4) and (5, 6, 7) Select the option that gives a correct description of the class (5, 6, 7) Select one: Closed, recurrent, aperiodic. O Closed, transient, aperiodic O Closed, recurrent, periodic with period 2. Closed, transient, periodic with period 2 Not closed, recurrent, aperiodic Not closed, transient, aperiodic. Not closed, recurrent, periodic...
The possible transitions between the states of a Markov chain are shown in the diagram below 847 The communicating classes are (1, 3), (2, 4) and (5, 6, 7,8) Select the option that gives a correct description of the class (1, 3. Select one O Closed, recurrent, aperiodic O Closed, transient, aperiodic. O Closed, recurrent, periodic with period 2 O Closed, transient, periodic with period 2 Not closed, recurrent, aperiodic. Not closed, transient, aperiodic. Not closed, recurrent, periodic with period...
The possible transitions between the states of a Markov chain are shown in the diagram belo The communicating classes are (1, 2). (3, 4) and (5, 6, 7 Select the option that gives a correct description of the class (3,4) Select one: Closed, recurrent, aperiodic Closed, transient, aperiodic Closed, recurrent, periodic with period 2 Closed, transient, periodic with period 2 Not closed, recurrent, aperiodic Not closed, transient, aperiodic. Not closed, recurrent, periodic with period 2 Not closed, transient, periodic with...
The possible transitions between the states of a Markov chain are shown in the diagram belo The communicating classes are (1, 2). (3. 4) and (5. 6. 7 Select the option that gives a correct description of the class (3,4) Select one: Closed, recurrent, aperiodic Closed, transient, aperiodic Closed, recurrent, periodic with period 2 Closed, transient, periodic with period 2 Not closed, recurrent, aperodic Not closed, transient, aperiodic Not closed, recurrent periodic with period 2 Not closed, transient, periodic with...
The possible transitions between the states of a Markov chain are shown in the diagram belo The communicating classes are (1, 2). (3. 4) and (5. 6. 7 Select the option that gives a correct description of the class (3,4) Select one: Closed, recurrent, aperiodic Closed, transient, aperiodic Closed, recurrent, periodic with period 2 Closed, transient, periodic with period 2 Not closed, recurrent, aperodic Not closed, transient, aperiodic Not closed, recurrent periodic with period 2 Not closed, transient, periodic with...
2. The transition probabilities for several temporally homogeneous Markov chains with states 1,.,n appear below. For each: . Sketch a small graphical diagram of the chain (label the states and draw the arrows, but you do not need to label the transition probabilities) . Determine whether there are any absorbing states, and, if so, list them. » List the communication classes for the chain . Classify the chain as irreducible or not . Classify each state as recurrent or transient....
2. The transition probabilities for several temporally homogeneous Markov chains with states 1,.,n appear below. For each: . Sketch a small graphical diagram of the chain (label the states and draw the arrows, but you do not need to label the transition probabilities) . Determine whether there are any absorbing states, and, if so, list them. » List the communication classes for the chain . Classify the chain as irreducible or not . Classify each state as recurrent or transient....
Q.5 6 marks Markov chain with the following (a) Draw the state transition diagram for transition matrix P 0 0.5 0 0.5 0 0.2 0.8 0 0 O P = \ 0 0.1 0 0.2 0.7 0 0.9 0 0.1 0 0 0 0 0 1 on five states 1,2,3,4,5} 2 marks (b) Identify the communicating classes of the Markov chain and identify whether they are open or closed. Write them in set notation and mark them on the transition...
1. A Markov chain (x,, n 2 01 with state space S (0,1,2,3,4,5] has transition proba- bility matrix Γα β/2 01-α 0 0 0 0 1/32/3_ββ/2 β/2 β/2 1/2 0 0 0 0 (a) Determine the equivalence classes of communicating states for any possible choice of the three parameters α, β and γ; (b) In all cases, determine if the states in each class are recurrent or transient and find their period (or determine that they are aperiodic)
A Markov chain {Xn,n 2 0) with state space S 10, 1, 2,3, 4,5) has transition proba- bility matrix 0 1/32/3-ββ/2 01-α 0 β/2 0 0 0 0 0 0 β/2 β/21/2 0 1. Y (a) Determine the equivalence classes of communicating states for any possible choice of the three parameters α, β and γ; (b) In all cases, determine if the states in each class are recurrent or transient and find their period (or determine that they are aperiodic)
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