(b) Given that the outcome state 1 has occurred, what is the probability that the next outcome of the experiment will be state 2?(c) If the initial-state distribution is given byState 154State 2find TX, the probability distribution of the system after one observation. The transition matrix for a Markov process is given byState123State 14T=21State 23(a) What does the entry a22- represent?O The conditional probability that the outcome state 2 will occur given that the outcome state 1 has occurred isO The conditional probability that the outcome state 1 will occur given that the outcome state 2 has occurred is -.O The conditional probability that the outcome state 1 will occur given that the outcome state 1 has occurred is .The conditional probability that the outcome state 2 will occur given that the outcome state 2 has occurred is-None of these are correct.(b) Given that the outcome state 1 has occurred, what is the probability that the next outcome of the experiment will be state 2?(c) If the initial-state distribution is given byState 1State 2find TX,, the probability distribution of the system after one observation.- In + lun

Answered: Image /qna-images/answer/649a6879-e30d-4489-a282-5b994e335144.jpg

Answered: The transition matrix for a Markov…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Explan hidden markov model and its application, include all relevant information
Determine whether the Markov chain with matrix of transition probabilities P is absorbing. Explain.
(Transition Probabilities)must be about Markov Chain. Any year on a planet in the Sirius star system is either economic growth or recession (constriction). If there is growth for one year, there is 70% probability of growth in the next year, 10% probability recession is happening. If there is a recession one year, there is a 30% probability of growth and a 60% probability of recession the next year. (a) If recession is known in 2263, find the probability of growth in 2265. (b) What is the probability of a recession on the planet in the year Captain Kirk and his crew first visited the planet? explain it to someone who does not know anything about the subject
A study of armed robbers yielded the approximate transition probability matrix shown below. The matrix gives the probability that a robber currents free, on probation, or in jail would, over a period of a year, make a transition to one of the states. То From Free Probation Jail Free 0.7 0.2 0.1 Probation 0.3 0.5 0.2 Jail 0.0 0.1 0.9 Assuming that transitions are recorded at the end of each one-year period: i) For a robber who is now free, what is the expected number of years before going to jail? ii) What proportion of time can a robber expect to spend in jail? [Note: You may consider maximum four transitions as equivalent to that of steady state if you like.]
6
Please Help ASAP!!!
A factory worker will quit with probability 1/2 during her first month, with probability 1/4 during her second month and with probability 1/8 after that. Whenever someone quits, their replacement will start at the beginning of the next month. Model the status of each position as a Markov chain with 3 states. Identify the states and transition matrix. Write down the system of equations determining the long-run proportions. Suppose there are 900 workers in the factory. Find the average number of the workers who have been there for more than 2 months.
Suppose that a Markov chain with 3 states and with transition matrix P is in state 3 on the first observation. Which of the following expressions represents the probability that it will be in state 1 on the third observation? (A) the (3, 1) entry of P3 (B) the (1,3) entry of P3 (C) the (3, 1) entry of Pª (D) the (1,3) entry of P2 (E) the (3, 1) entry of P (F) the (1,3) entry of P4 (G) the (3, 1) entry of P2 (H) the (1,3) entry of P
What is the transaction probability p22 value ?
Define Markov matrix.
Give an example of one-step transition probabilities for a renewal Markov chain that is null recurrent.
For the following Markov models: a ito dove b) find the stationary probability distribution on paper, SUre 5A An ion channel can be in either open or closed state. If it is open, then it has probability 0.1 of closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. 5B An individual can be either susceptible or infected, the probability of infection for a susceptible person is 0.05 per day, and the probability an infected person becoming susceptible is 0.12 per day. 5C The genotype of an organism can be either normal (wild type) or mutant. Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring.

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS