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A manufacturing plant utilizes 3000 electric light bulbs
Chapter 4, Problem 162SE(choose chapter or problem)
Problem 162SE
A manufacturing plant utilizes 3000 electric light bulbs whose length of life is normally distributed with mean 500 hours and standard deviation 50 hours. To minimize the number of bulbs that burn out during operating hours, all the bulbs are replaced after a given period of operation. How often should the bulbs be replaced if we want not more than 1% of the bulbs to burn out between replacement periods?
Questions & Answers
QUESTION:
Problem 162SE
A manufacturing plant utilizes 3000 electric light bulbs whose length of life is normally distributed with mean 500 hours and standard deviation 50 hours. To minimize the number of bulbs that burn out during operating hours, all the bulbs are replaced after a given period of operation. How often should the bulbs be replaced if we want not more than 1% of the bulbs to burn out between replacement periods?
ANSWER:
Solution:
Step 1 of 2:
The lifetime of bulbs are normally distributed with mean 500 hours and standard deviation 50 hours.
To minimize the number of bulbs that burn out during operating hours, all the bulbs are replacing after a given period.
We have to find how often should the bulbs be replaced if we want not more than 1% of the bulbs to burn out between replacement period.