20. At a certain university, suppose each student moves on to the next year of classes with probability p, stays in the same class with probability r, and leaves the university for reasons other than graduating with probability q. Assume there are 4 classes, and after moving on from class 4, the student graduates and becomes an alumni of the university. (a) Sketch a state diagram and determine the transition matrix. What are the absorbing states? (b) If p.7,q.2, r = .1, find out the average amount of time a student spends in college. Discuss your result. (c) Determine the probability a student currently in their third year of classes will graduate from the university.
20. At a certain university, suppose each student moves on to the next year of classes with probability p, stays in the same class with probability r, and leaves the university for reasons other than graduating with probability q. Assume there are 4 classes, and after moving on from class 4, the student graduates and becomes an alumni of the university. (a) Sketch a state diagram and determine the transition matrix. What are the absorbing states? (b) If p.7,q.2, r = .1, find out the average amount of time a student spends in college. Discuss your result. (c) Determine the probability a student currently in their third year of classes will graduate from the university.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Milan.stt
Transcribed Image Text:20. At a certain university, suppose each student moves on to the next year of classes with probability p,
stays in the same class with probability r, and leaves the university for reasons other than graduating
with probability q. Assume there are 4 classes, and after moving on from class 4, the student graduates
and becomes an alumni of the university.
(a) Sketch a state diagram and determine the transition matrix. What are the absorbing states?
(b) If p = .7, q = .2, r = .1, find out the average amount of time a student spends in college. Discuss
your result.
(c) Determine the probability a student currently in their third year of classes will graduate from the
university.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Write the given information.
VIEWStep 2: Sketch the state diagram and determine the transition matrix.
VIEWStep 3: Determine the average amount of time a student spends in the college.
VIEWStep 4: Determine probability student currently in their third year of classes will graduate from University
VIEWSolution
VIEW
Step by step
Solved in 5 steps with 8 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman