12.43 Consider the following transition probability matrix:0.6 0.2 0.2P= 0.3 0.4 0.30.0 0.3 0.7a. Give the state-transition diagram.b. Given that the process is currently in state 1, what is the probabilitythat it will be in state 2 at the end of the third transition?c. Given that the process is currently in state 1, what is the probabilitythat the first time it enters state 3 is the fourth transition?

transition probability matrix is given:

Answered: Consider the following transition…

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

Question 2: For a certain airline, there is a 75% probability that a given flight will depart on-time, an 80% probability of an on-time arrival, and a 60% probability of both an on-time departure and arrival. What is the probability that this flight will either depart on-time or arrive on-time? Is on-time arrival independent of on-time departure?
1. Check if these matrices can be Transition matrices. If no, explain why. [2 pts] 0.2 0.4 0.4 a) 0.5 0.2 0.3 -0.2 0.8 b) 0.1 0.6 0.2 0.7 0.6, c) 0.4 0.3 0.7 0.1 0.9, (p
Suppose a two state experiment has the following transition matrix: 0.2] 0.4 0.8 P = 0.6 Answer the following questions: 1. Find P(2). ... ... ... ... ... 2. If the experiment is in state 1 on the first observation, what is the probability that it will be in state 2 on the third observation? ... ... 3. If the experiment is in state 1 on the first observation, what is the probability it is in state 2 on the next two observations? ...
Draw a transition diagram corresponding to the following stochastic matrix: refer to image
Please do the following questions with handwritten working out. Answer is in other image
(a) The following diagram shows the movement of Kenyan households among three income groups: affluent, middle class, and poor, over the 11-year period 1980–1991. AFFLUENT 27.1% Sh72,000 (in 1994) 7.5% MIDDLE CLASS 8.5% Sh24,000 (in 1994) 30.4% POOR (i) Use the transitions shown in the diagram to construct a transition matrix (assuming zero probabilities for the transitions between affluent and poor). (ii) Assuming that the trend shown was to continue, what percent of households' classified as affluent in 1980 -1991, were predicted to become poor in 1993? (iii) According to the model, what percentage of all Kenyan households will be in each income bracket in the long term?
Can someone please help me with this question. I am having so much trouble.
What is the probability that those units in states 3 and 4 end up in each of the absorbing states?
Q. No. 5:Discuss the components of time series. b)There are five flights daily from Pittsburgh via US Airways into the Bradford Regional Airport in Bradford, Pennsylvania. Suppose the probability that any flight arrives late is 0.20. What is the probability that none of the flights are late today? What is the probability that exactly one of the flights is late today?
Is there a unique way of filling in the missing probabilities in the transition diagram shown to the right? If so, complete the transition diagram and write the corresponding transition matrix. If not, explain why. 0.3 OA. Yes. The probability of transition from A to A is probability of transition from C to B is. (Type integers or decimals.) 0.4 0.5 0.7 B 0,2 0.1 Is there a unique way of filling in the missing probabilities in the transition diagram? If so, identify the missing probabilities. If not, explain why. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. the probability of transition from B to C is and the OB. No. It is possible to find the probability of transition from A to A, but the probability of transition from B to C is needed to find the probability of transition from C to B (and vice versa). OC. No. At least one of the missing probabilities is needed to find the other two. OD. No. It is possible to find the probability…
In this question you will find the steady-state probability distribution for the regular transistion matrix below with 3 states A, B, and C. A В с 0.4 0.4 0.2 A В 0.5 0.0 0.5 0.1 0.8 0.1 Give the following answers as fractions OR as decimals correct to at least 5 decimal places. What is the long term probability of being in state A? What is the long term probability of being in state B? What is the long term probability of being in state C?

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