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anufacturing operation. The fuses are costly, are nd are shipped to suppliers in 100-unit lots. Be- lestructive, most buyers of fuses test only a small before deciding to accept or reject lots of incom- ve production lines produce fuses at the same ly produce only 2% defective fuses, which are mly in the output. Unfortunately, production echanical difficulty and produced 5% defectives th of March. This situation became known to

anufacturing operation. The fuses are costly, are nd are shipped to suppliers in 100-unit lots. Be- lestructive, most buyers of fuses test only a small before deciding to accept or reject lots of incom- ve production lines produce fuses at the same ly produce only 2% defective fuses, which are mly in the output. Unfortunately, production echanical difficulty and produced 5% defectives th of March. This situation became known to

A First Course in Probability (10th Edition)
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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Example 2.23 An electronic fuse is produced by five produc- tion lines in a manufacturing operation. The fuses are costly, are quite reliable, and are shipped to suppliers in 100-unit lots. Be- cause testing is destructive, most buyers of fuses test only a small number of fuses before deciding to accept or reject lots of incom- ing fuses. All five production lines produce fuses at the same rate and normally produce only 2% defective fuses, which are dispersed randomly in the output. Unfortunately, production line 1 suffered mechanical difficulty and produced 5% defectives during the month of March. This situation became known to the manufacturer after the fuses had been shipped. A customer received a lot produced in March and tested three fuses. 1. What is the chance that there is one failure among three tested fuses. 2. If there is one failure among the tested fuses, What is the probability that the lot was produced on line 1? What is the probability that the lot came from one of the four other lines?
Transcribed Image Text:Example 2.23 An electronic fuse is produced by five produc- tion lines in a manufacturing operation. The fuses are costly, are quite reliable, and are shipped to suppliers in 100-unit lots. Be- cause testing is destructive, most buyers of fuses test only a small number of fuses before deciding to accept or reject lots of incom- ing fuses. All five production lines produce fuses at the same rate and normally produce only 2% defective fuses, which are dispersed randomly in the output. Unfortunately, production line 1 suffered mechanical difficulty and produced 5% defectives during the month of March. This situation became known to the manufacturer after the fuses had been shipped. A customer received a lot produced in March and tested three fuses. 1. What is the chance that there is one failure among three tested fuses. 2. If there is one failure among the tested fuses, What is the probability that the lot was produced on line 1? What is the probability that the lot came from one of the four other lines?
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