A machine which produces some product may either be "in adjustment" or "out of adjustment" state. If the machine is in adjustment, the probability that it will be in adjustment a day later is .8 and the probability that it will be out of adjustment a day later is .2. If the machine is out of adjustment, the probability that it will be in adjustment a day later is .7 and the probability that it will be out of adjustment a day later is .3. From the above data find the probabilities of the machine being in one state on a future day given that it started off in another state on the first day.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A machine which produces some product may either be "in adjustment" or
"out of adjustment" state. If the machine is in adjustment, the probability that it
will be in adjustment a day later is .8 and the probability that it will be out of
adjustment a day later is .2. If the machine is out of adjustment, the probability
that it will be in adjustment a day later is .7 and the probability that it will be out
of adjustment a day later is .3.
From the above data find the probabilities of the machine being in one state
on a future day given that it started off in another state on the first day.
Transcribed Image Text:A machine which produces some product may either be "in adjustment" or "out of adjustment" state. If the machine is in adjustment, the probability that it will be in adjustment a day later is .8 and the probability that it will be out of adjustment a day later is .2. If the machine is out of adjustment, the probability that it will be in adjustment a day later is .7 and the probability that it will be out of adjustment a day later is .3. From the above data find the probabilities of the machine being in one state on a future day given that it started off in another state on the first day.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman