The printing machine consists of three parts A, B, C. The Probability of part A failure is 0.1. The probability of failure for B is 0.2 given A is broken, and 0.1 otherwise. The probability of C failing is 0.2 given B is broken and 0.1 otherwise. The "call the master" signal lights up if at least two parts out of three are out of order. I can fix the printer if only two parts are broken, otherwise, I will only spoil everything. What is the conditional probability that I don't need to undertake repairs, given that the call the master" signal is on?

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
The printing machine consists of three parts A, B, C. The Probability of part A failure is 0.1. The
probability of failure for B is 0.2 given A is broken, and 0.1 otherwise. The probability of C
failing is 0.2 given B is broken and 0.1 otherwise. The "call the master" signal lights up if at least
two parts out of three are out of order. I can fix the printer if only two parts are broken,
otherwise, I will only spoil everything. What is the conditional probability that I don't need to
undertake repairs, given that the call the master" signal is on?
AnouO
Transcribed Image Text:The printing machine consists of three parts A, B, C. The Probability of part A failure is 0.1. The probability of failure for B is 0.2 given A is broken, and 0.1 otherwise. The probability of C failing is 0.2 given B is broken and 0.1 otherwise. The "call the master" signal lights up if at least two parts out of three are out of order. I can fix the printer if only two parts are broken, otherwise, I will only spoil everything. What is the conditional probability that I don't need to undertake repairs, given that the call the master" signal is on? AnouO
Expert Solution
steps

Step by step

Solved in 3 steps with 5 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