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The probabilities of poor print quality given no printer
Chapter 2, Problem 181E(choose chapter or problem)
Problem 181E
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 0.8, 0.02, 0.08, 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?
Questions & Answers
QUESTION:
Problem 181E
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 0.8, 0.02, 0.08, 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?
ANSWER:
Solution:
Step 1 of 3:
Let, A = poor print quality.
The events ,
,
,
, and
of no printer problem, misaligned paper, high ink viscosity, or printhead debris.
Then P() = 0.8, P(
) = 0.02, P(
) = 0.08, P(
) = 0.1, P( A/
) =0, P( A/
) = 0.3,
P( A/) = 0.4, and P( A/
) = 0.6.