20-Station Assembly Line Consider an assembly line with 20 stations. Each station has a 0.5% probability of making a defect. At the end of the line, an inspection step singles out the defective units. The inspection step catches 80% of all defects. From inspection, units that are deemed to be non-defective are moved to the shipping department. If a defect is found at inspection, it is sent to the rework department. Rework fixes about 95% of the defective units. Units are directly shipped from the rework department with no further inspection taking place. What is the probability that a unit ends up in rework (in decimal form)?
20-Station Assembly Line Consider an assembly line with 20 stations. Each station has a 0.5% probability of making a defect. At the end of the line, an inspection step singles out the defective units. The inspection step catches 80% of all defects. From inspection, units that are deemed to be non-defective are moved to the shipping department. If a defect is found at inspection, it is sent to the rework department. Rework fixes about 95% of the defective units. Units are directly shipped from the rework department with no further inspection taking place. What is the probability that a unit ends up in rework (in decimal form)?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:20-Station Assembly Line
Consider an assembly line with 20 stations.
Each station has a 0.5% probability of making
a defect. At the end of the line, an inspection
step singles out the defective units. The
inspection step catches 80% of all defects.
From inspection, units that are deemed to
be non-defective are moved to the shipping
department.
If a defect is found at inspection, it is sent to
the rework department. Rework fixes about
95% of the defective units. Units are directly
shipped from the rework department with
no further inspection taking place.
What is the probability that a unit ends up in
rework (in decimal form)?
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