If you eat Kebsah today, there is a probability of 1/5 that you will eat ittomorrow. If you do not eat it today, there is a probability of 1/3 that you will eat it tomorrow. Themeal on day-0 is known to be non-Kebsah. Set up a transition matrix; and if you do not eat Kebsahon Sunday, what is the probability that you will eat it on Monday?

Let's define two states:State 0 (Non-Kebsah): This state represents the situation when Kebsah is not…

Answered: If you eat Kebsah today, there is a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following data consists of a matrix of transition probabilities (P) of three competing companies, the initial market share state ℼ(1), and the equilibrium probability states. Assume that each state represents a firm (Company 1, Company 2, and Company 3, respectively) and the transition probabilities represent changes from one month to the next. The market share of Company 3 after three periods is a. 0.259 b. 0.261 c. 0.283 d. 0.296
From data collected by the Association of Realtors of a certain city, the following tran- sition matrix was obtained. The matrix describes the buying pattern of home buyers who buy single-family homes (S) or condominiums (C). Current State S C S .85 .35 Next State .15 .65 Currently, 80% of the homeowners live in single-family homes, whereas 20% live in condominiums. If this trend continues, what will be the percent of homeowners in this city who will own single-family homes and condominiums 2 years from now? In the long run?
Each week a student can be either up-to-date or behind. If the student is up-to- date, then the probability of staying up to date is 0.8, otherwise the student falls behind. If the student is behind, then the student will be up-to-date next week with probability 0.6. n-step transition matrix rij (1) = [.8 2 .4] O 0.6×0.8+.2× и
The following data consists of a matrix of transition probabilities (P) of three competing companies, the initial market share state ℼ(1), and the equilibrium probability states. Assume that each state represents a firm (Company 1, Company 2, and Company 3, respectively) and the transition probabilities represent changes from one month to the next. The market share of Company 2 after two periods is a. 0.283 b. 0.26 c. 0.261 d. 0.47
Stationary Matrix Consider an example where a company initially has a 10% market share. Using an advertising campaign, the probability of a customer will use and stick to the company brand is 80%. On the other hand, the probability of a customers that uses the other Brand is 40%. • Question: If the probabilities remain valid over a long period of time, What happens to the companies market share?
Stationary Matrix Consider an example where a company initially has a 10% market share. Using an advertising campaign, the probability of a customer will use and stick to the company brand is 80%. On the other hand, the probability of a customers that uses the other Brand is 40%. • Question: If the probabilities remain valid over a long period of time, What happens to the companies market share?
In an office complex of 1000 employees, on any given day some are at work and the rest are absent. It is known that if an employee is at work today, there is an 85% chance that she will be at work tomorrow, and if the employee is absent today, there is a 70% chance that she will be absent tomorrow. Suppose that today there are 740 employees at work. (A graphing calculator is recommended.) (a) Find the transition matrix A for this scenario. at work absent A = (b) Predict the number that will be at work five days from now. (Round your answer to the nearest integer.) employees (c) Find the steady-state vector x. (Round your answer to two decimal places.)
If he is in C now, find the joint probability that he will be in C in two weeks and in A in four weeks from now
A car rental service in a certain town has a fleet of about 600 cars, at three locations. A car rented at one location may be returned to any of the three locations. The various fractions of cars returned to the three locations are shown in the matrix to the right. Suppose that on Monday there are 295 cars at the airport (or rented from there), 65 cars at the east side office, and 240 cars at the west side office. What will be the approximate distribution of cars on Wednesday? Cars Rented From: Airport East West 0.95 0.03 0.12 0.00 0.94 0.06 0.05 0.03 0.82 Returned To: Airport East West On Wednesday, 274 cars will be at the airport, 52 cars will be at the East location, and 274 cars will be at the West location. (Round to the nearest integer as needed.)
29. In a fictional town, there are two restaurants, which we will call A and B for ease of reference. If someone eats at restaurant A on one day, there is a 76% chance they will eat there again tomorrow. And if someone eats at restaurant B on one day, there is a 82 % chance they will eat there again tomorrow. Which one of the transition matrices below correctly represents this situation? a) A B A 0.76 0.34 B 0.18 0.82 b) A B A 0.76 0.24 B 0.18 0.82 c) A B A 0.76 0.24 B 0.08 0.82 d) A B Main Content A 0.24 0.76 B 0.82 0.18 e) None of the above.
Stationary Matrix Consider an example where a company initially has a 10% market share. Using an advertising campaign, the probability of a customer will use and stick to the company brand is 80%. On the other hand, the probability of a customers that uses the other Brand is 40%. • Question: If the probabilities remain valid over a long period of time, What happens to the companies market share?

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