1) The probabilities of poor print quality given “no printer problem”, “misaligned paper”, “high ink viscosity”, or “printer-head debris” are 0, 0.3, 0.4, and 0.6 respectively. The probabilities of “no printer problem”, “misaligned paper”, “high ink viscosity”, or “printer-head debris” are 0.7, 0.05, 0.15 and 0.1, respectively. (a) Determine the probability of “high ink viscosity” given poor print quality (b) Given poor print quality, what problem is most likely?
1) The probabilities of poor print quality given “no printer problem”, “misaligned paper”, “high ink viscosity”, or “printer-head debris” are 0, 0.3, 0.4, and 0.6 respectively. The probabilities of “no printer problem”, “misaligned paper”, “high ink viscosity”, or “printer-head debris” are 0.7, 0.05, 0.15 and 0.1, respectively. (a) Determine the probability of “high ink viscosity” given poor print quality (b) Given poor print quality, what problem is most likely?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1) The probabilities of poor print quality given “no printer problem”, “misaligned paper”, “high ink
viscosity”, or “printer-head debris” are 0, 0.3, 0.4, and 0.6 respectively. The probabilities of “no
printer problem”, “misaligned paper”, “high ink viscosity”, or “printer-head debris” are 0.7, 0.05, 0.15
and 0.1, respectively.
(a) Determine the probability of “high ink viscosity” given poor print quality
(b) Given poor print quality, what problem is most likely?
Expert Solution
Step 1
Given that,
The events are as follows,
The event is no print problem
The event is misaligned paper
The event is high ink viscosity
The event is printer-head debris
The event is the poor print quality
The conditional probabilities are
The Bayes theorem formula is
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