Homework Help is Here – Start Your Trial Now!
Math
Statistics
A car plant produces about one hundred cars per day independently of any other day with probabilities as given below. Cars per day 98 | 99 | 100 | 101 | 102 Probability 0.1 | 0.2 | 0.4 | 0.2 | 0.1 A train with space for one hundred cars collects finished cars from the plant at the end of each day. if four or more cars remain, a road transporter is used to carry four cars to the depot. If three or fewer cars remain, then these cars are held for collection the following day. (a) Explain why the number of cars held over each night can be mod- elled as a Markov chain with state space S = {0, 1,2, 3}. (b) What is the transition matrix for this Markov chain?

A car plant produces about one hundred cars per day independently of any other day with probabilities as given below. Cars per day 98 | 99 | 100 | 101 | 102 Probability 0.1 | 0.2 | 0.4 | 0.2 | 0.1 A train with space for one hundred cars collects finished cars from the plant at the end of each day. if four or more cars remain, a road transporter is used to carry four cars to the depot. If three or fewer cars remain, then these cars are held for collection the following day. (a) Explain why the number of cars held over each night can be mod- elled as a Markov chain with state space S = {0, 1,2, 3}. (b) What is the transition matrix for this Markov chain?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
See similar textbooks
icon
Related questions
Question

Markov Chains

A car plant produces about one hundred cars per day independently of any other day with probabilities as given below. Cars per day 98 | 99 | 100 | 101 Probability 102 0.1 0.2 | 0.4 | 0.2 | 0.1 A train with space for one hundred cars collects finished cars from the plant at the end of each day. if four or more cars remain, a road transporter is used to carry four cars to the depot. If three or fewer cars remain, then these cars are held for collection the following day. (a) Explain why the number of cars held over each night can be mod- elled as a Markov chain with state space S = {0, 1,2, 3}. (b) What is the transition matrix for this Markov chain?
Transcribed Image Text:A car plant produces about one hundred cars per day independently of any other day with probabilities as given below. Cars per day 98 | 99 | 100 | 101 Probability 102 0.1 0.2 | 0.4 | 0.2 | 0.1 A train with space for one hundred cars collects finished cars from the plant at the end of each day. if four or more cars remain, a road transporter is used to carry four cars to the depot. If three or fewer cars remain, then these cars are held for collection the following day. (a) Explain why the number of cars held over each night can be mod- elled as a Markov chain with state space S = {0, 1,2, 3}. (b) What is the transition matrix for this Markov chain?
Expert Solution
steps

Step by step

Solved in 7 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
SEE MORE TEXTBOOKS