Problem 1 Human visual inspection is necessary in many quality engineering contexts and is naturally subject to subjectivity. This is especially true for the inspection of solder joints on circuit boards, as there are numerous types of solder defects, as well as a degree to which a joint possesses one or more defect. Consequently, even highly trained inspectors can disagree on the status of a particular joint. In a batch of 10,000 such joints, inspector A found 724 to be defective, inspect B found 751 to be defective, and 1159 of the joints were judged to be defective by at least one of the inspectors. Suppose that one of the 10,000 joints is randomly selected. a. What is the probability that the selected joint was judged to be defective by neither of the two inspectors? b. What is the probability that the selected joint was judged to be defective by inspector B but not by inspector A?
Problem 1
Human visual inspection is necessary in many quality engineering contexts and is naturally
subject to subjectivity. This is especially true for the inspection of solder joints on circuit boards,
as there are numerous types of solder defects, as well as a degree to which a joint possesses
one or more defect. Consequently, even highly trained inspectors can disagree on the status of
a particular joint. In a batch of 10,000 such joints, inspector A found 724 to be defective,
inspect B found 751 to be defective, and 1159 of the joints were judged to be defective by at
least one of the inspectors. Suppose that one of the 10,000 joints is randomly selected.
a. What is the probability that the selected joint was judged to be defective by neither of
the two inspectors?
b. What is the probability that the selected joint was judged to be defective by inspector B
but not by inspector A?
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