Filters
Question type
Study Flashcards

A certain firm has noticed that employees' salaries from year to year can be modeled by Markov analysis. The matrix of transition probabilities follows. A certain firm has noticed that employees' salaries from year to year can be modeled by Markov analysis. The matrix of transition probabilities follows. (a) Set up the matrix of transition probabilities in the form: (b) Determine the fundamental matrix for this problem. (c) What is the probability that an employee who has received a raise will eventually quit? (d) What is the probability that an employee who has received a raise will eventually be fired? (a) Set up the matrix of transition probabilities in the form: A certain firm has noticed that employees' salaries from year to year can be modeled by Markov analysis. The matrix of transition probabilities follows. (a) Set up the matrix of transition probabilities in the form: (b) Determine the fundamental matrix for this problem. (c) What is the probability that an employee who has received a raise will eventually quit? (d) What is the probability that an employee who has received a raise will eventually be fired? (b) Determine the fundamental matrix for this problem. (c) What is the probability that an employee who has received a raise will eventually quit? (d) What is the probability that an employee who has received a raise will eventually be fired?

Correct Answer

verifed

verified

(a) blured image (b) f...

View Answer

There is a 60% chance that customer without a smart phone will buy one this year. There is a 95% chance that a customer with a smart phone will continue with a smart phone going into the next year. If 30% of target market currently own smart phones, what is the long run percentage of the target market that will own smart phones?

Correct Answer

verifed

verified

For any absorbing state, the probability that a state will remain unchanged in the future is one.

A) True
B) False

Correct Answer

verifed

verified

The vector of state probabilities for any period is equal to the vector of state probabilities for the preceding period multiplied by the matrix of transition probabilities.

A) True
B) False

Correct Answer

verifed

verified

In Markov analysis, we also assume that the sates are


A) collectively exhaustive.
B) mutually exclusive.
C) independent.
D) A and B
E) A, B, and C

F) C) and D)
G) B) and D)

Correct Answer

verifed

verified

The weather is becoming important to you since you would like to go on a picnic today. If it was sunny yesterday, there is a 70% chance it will be sunny today. If it was raining yesterday, there is a 30% chance it will be sunny today. If the probability that it was raining yesterday is 0.25, what is the probability that it will rain today?


A) 0.1
B) 0.3
C) 0.4
D) 0.7
E) None of the above

F) C) and D)
G) B) and C)

Correct Answer

verifed

verified

A Markov process could be used as a model of how a disease progresses from one set of symptoms to another.

A) True
B) False

Correct Answer

verifed

verified

Occasionally, a state is entered that will not allow going to any other state in the future. This is called


A) status quo.
B) stability dependency.
C) market saturation.
D) incidental mobility.
E) an absorbing state.

F) B) and E)
G) A) and C)

Correct Answer

verifed

verified

Markov analysis is a technique that deals with the probabilities of future occurrences by


A) using the simplex solution method.
B) analyzing currently known probabilities.
C) statistical sampling.
D) the minimal spanning tree.
E) None of the above

F) B) and C)
G) C) and E)

Correct Answer

verifed

verified

The initial values for the state probabilities ________.


A) are always greater than the equilibrium state probabilities
B) are always less than the equilibrium state probabilities
C) do not influence the equilibrium state probabilities
D) heavily influence the equilibrium state probabilities
E) None of the above

F) A) and B)
G) A) and C)

Correct Answer

verifed

verified

In a matrix of transition probabilities,


A) the probabilities for any column will sum to 1.
B) the probabilities for any row will sum to 1.
C) the probabilities for any column are mutually exclusive and collectively exhaustive.
D) All of the above
E) None of the above

F) All of the above
G) A) and E)

Correct Answer

verifed

verified

Given the following matrix of transition probabilities, write three equations that, when solved, will give the equilibrium state values. P = Given the following matrix of transition probabilities, write three equations that, when solved, will give the equilibrium state values. P =

Correct Answer

verifed

verified

π1 + π2 = 1 ...

View Answer

At equilibrium,


A) state probabilities for the next period equal the state probabilities for this period.
B) the state probabilities are all equal to each other.
C) the matrix of transition probabilities is symmetrical.
D) the vector of state probabilities is symmetrical.
E) the fundamental matrix is the same as the matrix of transition probabilities.

F) A) and E)
G) A) and C)

Correct Answer

verifed

verified

To find the equilibrium state in Markov analysis,


A) it is necessary to know both the vector of state probabilities and the matrix of transition probabilities.
B) it is necessary only to know the matrix of transition probabilities.
C) it is necessary only to know the vector of state probabilities for the initial period.
D) one should develop a table of state probabilities over time and then determine the equilibrium conditions empirically.
E) None of the above

F) A) and B)
G) B) and E)

Correct Answer

verifed

verified

Markov analysis assumes that there are a limited number of states in the system.

A) True
B) False

Correct Answer

verifed

verified

The matrix of transition probabilities gives the conditional probabilities of moving from one state to another.

A) True
B) False

Correct Answer

verifed

verified

Table 15-3 Cuthbert Wylinghauser is a scheduler of transportation for the state of Delirium. This state contains three cities: Chaos (C1) , Frenzy (C2) , and Tremor (C3) . A transition matrix, indicating the probability that a resident in one city will travel to another, is given below. Cuthbert's job is to schedule the required number of seats, one to each person making the trip (transition) , on a daily basis. C F T Transition matrix: Table 15-3 Cuthbert Wylinghauser is a scheduler of transportation for the state of Delirium. This state contains three cities: Chaos (C<sub>1</sub>) , Frenzy (C<sub>2</sub>) , and Tremor (C<sub>3</sub>) . A transition matrix, indicating the probability that a resident in one city will travel to another, is given below. Cuthbert's job is to schedule the required number of seats, one to each person making the trip (transition) , on a daily basis. C F T Transition matrix: π(0) = [100, 100, 100] -Using the data given in Table 15-3, how many seats should Cuthbert schedule for travel from Chaos to Tremor for tomorrow? A) 80 B) 70 C) 20 D) 60 E) None of the above Table 15-3 Cuthbert Wylinghauser is a scheduler of transportation for the state of Delirium. This state contains three cities: Chaos (C<sub>1</sub>) , Frenzy (C<sub>2</sub>) , and Tremor (C<sub>3</sub>) . A transition matrix, indicating the probability that a resident in one city will travel to another, is given below. Cuthbert's job is to schedule the required number of seats, one to each person making the trip (transition) , on a daily basis. C F T Transition matrix: π(0) = [100, 100, 100] -Using the data given in Table 15-3, how many seats should Cuthbert schedule for travel from Chaos to Tremor for tomorrow? A) 80 B) 70 C) 20 D) 60 E) None of the above π(0) = [100, 100, 100] -Using the data given in Table 15-3, how many seats should Cuthbert schedule for travel from Chaos to Tremor for tomorrow?


A) 80
B) 70
C) 20
D) 60
E) None of the above

F) A) and B)
G) A) and C)

Correct Answer

verifed

verified

A state that when entered, cannot be left is called


A) transient.
B) recurrent.
C) absorbing.
D) steady.
E) None of the above

F) None of the above
G) A) and E)

Correct Answer

verifed

verified

Table 15-1 The following data consists of a matrix of transition probabilities (P) of three competing companies, and the initial market share π(0) . Assume that each state represents a company (Company 1, Company 2, Company 3, respectively) and the transition probabilities represent changes from one month to the next. P = Table 15-1 The following data consists of a matrix of transition probabilities (P) of three competing companies, and the initial market share π(0) . Assume that each state represents a company (Company 1, Company 2, Company 3, respectively) and the transition probabilities represent changes from one month to the next. P = π(0) = (0.3, 0.6, 0.1) -Using the data in Table 15-1, determine Company 2's estimated market share in the next period. A) 0.26 B) 0.27 C) 0.28 D) 0.29 E) None of the above π(0) = (0.3, 0.6, 0.1) -Using the data in Table 15-1, determine Company 2's estimated market share in the next period.


A) 0.26
B) 0.27
C) 0.28
D) 0.29
E) None of the above

F) A) and C)
G) A) and B)

Correct Answer

verifed

verified

Creating the fundamental matrix requires a partition of the matrix of transition.

A) True
B) False

Correct Answer

verifed

verified

Showing 21 - 40 of 78

Related Exams

Exam 1

Introduction to Quantitative Analysis

63 Questions

Exam 2

Probability Concepts and Applications

145 Questions

Exam 3

Decision Analysis

119 Questions

Exam 4

Regression Models

120 Questions

Exam 5

Forecasting

101 Questions

Exam 6

Inventory Control Models

113 Questions

Exam 7

Linear Programming Models: Graphical and Computer Methods

100 Questions

Exam 8

Linear Programming Applications

96 Questions

Exam 9

Transportation and Assignment Models

80 Questions

Exam 10

Integer Programming, Goal Programming, and Nonlinear Programming

88 Questions

Exam 11

Network Models

86 Questions

Exam 12

Project Management

123 Questions

Exam 13

Waiting Lines and Queuing Theory Models

133 Questions

Exam 14

Simulation Modeling

68 Questions

Exam 16

Statistical Quality Control

87 Questions

Show Answer