MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The maintenance department in charge of a
city's street lights finds that it is cost-efficient
to replace all street light bulbs at once (1 bulb
per streetlight), rather than replace bulbs
individually as they burn out. Assume the
lifetime of a bulb is normally distributed with a
mean of 3000 hours and a standard deviation
of 200 hours. The department wants, on
average, no more than 2.5% of the bulbs to
burn out before replacement.
With reference to the information, another
stretch of road has 73 streetlights. What are
the mean and standard deviation of the
number of bulbs that will already be burned
out on this stretch of road at the scheduled
replacement time?
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Transcribed Image Text:The maintenance department in charge of a city's street lights finds that it is cost-efficient to replace all street light bulbs at once (1 bulb per streetlight), rather than replace bulbs individually as they burn out. Assume the lifetime of a bulb is normally distributed with a mean of 3000 hours and a standard deviation of 200 hours. The department wants, on average, no more than 2.5% of the bulbs to burn out before replacement. With reference to the information, another stretch of road has 73 streetlights. What are the mean and standard deviation of the number of bulbs that will already be burned out on this stretch of road at the scheduled replacement time?
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