Question

Markov Chain Transition Matrix for a three state system. 1 - Machine 1: 2- Machine 2:...

Markov Chain

Transition Matrix for a three state system. 1 - Machine 1: 2- Machine 2: 3- Inspection

1 2 3
1 0.05 0 .95
2 0 0.05 .95
3 .485 .485 .03

A. For a part starting at Machine 1, determine the average number of visits this part has to each state. (mean time until absorption, I believe)

B. 1-1, 2-2, & 3-3 represent BAD units (stays at state).

If a batch of 1000 units is started on Machine 1, determine average number of completed good, units.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
asasap Consider the Markov chain with state space {1, 2, 3} and transition matrix  ...
asasap Consider the Markov chain with state space {1, 2, 3} and transition matrix   1 2 1 4 1 4 0 1 0 1 4 0 3 4   Find the periodicity of the states. \ Let {Xn|n ≥ 0} be a finite state Markov chain. prove or disprove that all states are positive recurren
Xn is a Markov Chain with state-space E = {0, 1, 2}, and transition matrix 0.4...
Xn is a Markov Chain with state-space E = {0, 1, 2}, and transition matrix 0.4 0.2     ? P = 0.6 0.3    ? 0.5 0.3    ? And initial probability vector a = [0.2, 0.3, ?] a) What are the missing values (?) in the transition matrix an initial vector? b) P(X1 = 0) = c) P(X1 = 0|X0 = 2) = d) P(X22 = 1|X20 = 2) = e) E[X0] = For the Markov Chain with state-space, initial vector, and...
Consider a Markov chain with state space {1,2,3} and transition matrix. P= .4 .2 .4 .6...
Consider a Markov chain with state space {1,2,3} and transition matrix. P= .4 .2 .4 .6 0 .4 .2 .5 .3 What is the probability in the long run that the chain is in state 1? Solve this problem two different ways: 1) by raising the matrix to a higher power; and 2) by directly computing the invariant probability vector as a left eigenvector.
urgent Consider the Markov chain with state space {0, 1, 2, 3, 4} and transition probability...
urgent Consider the Markov chain with state space {0, 1, 2, 3, 4} and transition probability matrix (pij ) given   2 3 1 3 0 0 0 1 3 2 3 0 0 0 0 1 4 1 4 1 4 1 4 0 0 1 2 1 2 0 0 0 0 0 1   Find all the closed communicating classes Consider the Markov chain with state space {1, 2, 3} and transition matrix  ...
Consider the Markov chain with the state space {1,2,3} and transition matrix P= .2 .4 .4...
Consider the Markov chain with the state space {1,2,3} and transition matrix P= .2 .4 .4 .1 .5 .4 .6 .3 .1 What is the probability in the long run that the chain is in state 1? Solve this problem two different ways: 1) by raising the matrix to a higher power; and 2) by directly computing the invariant probability vector as a left eigenvector.
Given the probability transition matrix of a Markov chain X(n) with states 1, 2 and 3:...
Given the probability transition matrix of a Markov chain X(n) with states 1, 2 and 3: X = [{0.2,0.4,0.4}, {0.3,0.3,0.4}, {0.2,0.6,0.2}] find P(X(10)=2|X(9)=3).
Let the markov chain consisting of states 0,1,2,3 have the transition probability matrix P = [0,0,1/2,1/2;...
Let the markov chain consisting of states 0,1,2,3 have the transition probability matrix P = [0,0,1/2,1/2; 1,0,0,0; 0,1,0,0; 0,1,0,0] Determine which state are recurrent and which are transient
the Markov chain on S = {1, 2, 3} with transition matrix p is 0 1...
the Markov chain on S = {1, 2, 3} with transition matrix p is 0 1 0 0 1/2 1/2; 1/2 0 1/2 We will compute the limiting behavior of pn(1,1) “by hand”. (A) Find the three eigenvalues λ1, λ2, λ3 of p. Note: some are complex. (B) Deduce abstractly using linear algebra and part (A) that we can write pn(1, 1) = aλn1 + bλn2 + cλn3 for some constants a, b, c. Don’t find these constants yet. (C)...
A Markov chain X0, X1, ... on states 0, 1, 2 has the transition probability matrix...
A Markov chain X0, X1, ... on states 0, 1, 2 has the transition probability matrix P = {0.1 0.2 0.7        0.9 0.1   0        0.1 0.8 0.1} and initial distribution p0 = Pr{X0 = 0} = 0.3, p1 = Pr{X0 = 1} = 0.4, and p2 = Pr{X0 = 2} = 0.3. Determine Pr{X0 = 0, X1 = 1, X2 = 2}. Please tell me what it means of the initial distribution why initial distribution p0 = Pr{X0...
The transition probability matrix of a Markov chain {Xn }, n = 1,2,3……. having 3 states...
The transition probability matrix of a Markov chain {Xn }, n = 1,2,3……. having 3 states 1, 2, 3 is P = 0.1 0.5 0.4 0.6 0.2 0.2 0.3 0.4 0.3 * and the initial distribution is P(0) = (0.7, 0.2,0.1) Find: i. P { X3 =2, X2 =3, X1 = 3, X0 = 2} ii. P { X3 =3, X2 =1, X1 = 2, X0 = 1} iii. P{X2 = 3}