10)- A manufacturing operation utilizes two production lines to assemble electronic fuses. Both lines produce fuses at the same rate and generally produce 2.5% defective fuses. However, production line 1 recently suffered mechanical difficulty and produced 6.0% defectives during a three-week period. This situation was not known until several lots of electronic fuses produced in thi period were shipped to customers. If one of two fuses tested by a customer was found to be defective, what is the probability that the lot from which it came was produced on malfunctioning line 1? (Use Bayes' Theorem to solve)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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10)- A manufacturing operation utilizes two production lines to assemble electronic fuses. Both lines produce fuses at the same rate and
generally produce 2.5% defective fuses. However, production line 1 recently suffered mechanical difficulty and produced 6.0% defectives
during a three-week period. This situation was not known until several lots of electronic fuses produced in thi period were shipped to
customers. If one of two fuses tested by a customer was found to be defective, what is the probability that the lot from which it came was
produced on malfunctioning line 1? (Use Bayes' Theorem to solve)
Transcribed Image Text:10)- A manufacturing operation utilizes two production lines to assemble electronic fuses. Both lines produce fuses at the same rate and generally produce 2.5% defective fuses. However, production line 1 recently suffered mechanical difficulty and produced 6.0% defectives during a three-week period. This situation was not known until several lots of electronic fuses produced in thi period were shipped to customers. If one of two fuses tested by a customer was found to be defective, what is the probability that the lot from which it came was produced on malfunctioning line 1? (Use Bayes' Theorem to solve)
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