Machine Maintenance. A machine can be in two states: "In adjustment " or "out of adjustment". If it is in adjustment, the machine earns revenue at the rate of $200 per day. If the machine is out of adjustment at the start of a day, it is repaired at a cost of $100, which then places it in adjustment. The repair time requires a full day, during which no revenue is earned. The transition matrix is given below. Out of adjustment 0.30 In adjustment Out of adjustment 0 a. What fraction of time in the long run can the machine be expected be in adjustment? Out of adjustment? b. Compute the expected long-run daily revenue earned by the machine. In adjustment 0.70 1

Q: The state of a particular continuous time Markov chain is defined as the number of jobs currently at…

A: From the above given data the following data is given below:

Q: A system consists of five components, each can be operational or not. Each day one operational…

A: Ans- We can model this system as a Markov chain with 6 states, where state i represents the number…

Q: s learned that the transition matrix for a one week 123 10101 197 1 3 1 0 0 0.08 0.8 0.12 L0.02 0.02…

A: To find the expected number of cycles a patient initially in good condition is expected to be in…

Q: This student never eats the same kind of food for 2 consecutive weeks. If she eats a Chinese…

A:

Q: Using markov chain long proportions Two machines are available to perform a task, each can be either…

A: Given information: There are Two machines available to perform a task, each can be either in…

Q: onent per day. Each repairman successfully fixes the component with probability 70% regardless of…

A: This problem can be modeled as a Markov chain with 6 states. The states are represented by the…

Q: How do you know that a stochastic process {Xn: n = 0, 1, 2,...} with discrete states is a Markov…

A: If the time is interpreted, then the index set of stochastic process has a finite or countable…

Q: Determine whether each statement is true or false. If a statement is true, give a reason or cite an…

A: As per the question, we will examine the veracity of two statements and provide explanations or…

Q: Exercise #1 For the following Markov chain, determine: The long run fraction of the time that each…

A:

Q: Estimaton of the model M + + Bs a+e resulted in the following least squares estimates and…

A: Given the regression model yi=β1+β2x2i+β3x3i+εi and b1b2b3=442 cov^b1,b2,b3=4-11-141114

Q: An Uber driver operates in three parts of a city: A, B, C. Suppose that you keep track of their…

A: As per policy the answer of first three subparts are provided.   The given transition matrix is…

Q: Prove that the square of a Markov matrix is also a Markov matrix.

A: An n×n matrix is called Markov matrix if all entries are non negative and the sum of each column…

Q: Generate a fractal (random, of any size) from a matrix using linear transfromation with concepts…

A: Ans- One way to generate a fractal using linear transformations is through the use of an iterated…

Q: Define adjacency matrix.

A:

Q: Describe each of the five “Gauss Markov” assumptions, (define them) and explain in the context of…

A: In statistics, the Gauss Markov theorem states thatvthe ordinary least squares estimator has the…

Q: What are the possible outcomes in testing a hypothesis? What are the determinant factors in deciding…

A: Introduction: Hypothesis testing is a statistical process, in which, a researcher has a “hypothesis”…

Q: Let X Geometric(p). Using Markov's inequality find an upper bound for P(X > a), for a positive…

A: Let X ~ Geometric(p).

Q: What is the stable vector of this Markov chain?

A: The given matrix is: P=1001201214340 The formula for the stable vector is : PX=X…

Q: Suppose that there are two geographic regions, East and West, and that every ten years, 1/3 of the…

A: