A city installs 2000 electric lamps for street lighting. These lamps have a mean burning life of 1000 hours with a standard deviation of 200 hours. Assume that the burning life is approximately normally distributed. a.) What is the probability that a lamp will not fail in the first 700 burning hours? b.) How many lamps are expected to fail between 800 and 1200 burning hours? c.) After how many burning hours would we expect approximately 10% of the lamps to be left?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A city installs 2000 electric lamps for street lighting.
These lamps have a mean burning life of 1000 hours
with a standard deviation of 200 hours. Assume that
the burning life is approximately normally distributed.
a.) What is the probability that a lamp will not fail in
the first 700 burning hours?
b.) How many lamps are expected to fail between
800 and 1200 burning hours?
c.) After how many burning hours would we expect
approximately 10% of the lamps to be left?
Transcribed Image Text:A city installs 2000 electric lamps for street lighting. These lamps have a mean burning life of 1000 hours with a standard deviation of 200 hours. Assume that the burning life is approximately normally distributed. a.) What is the probability that a lamp will not fail in the first 700 burning hours? b.) How many lamps are expected to fail between 800 and 1200 burning hours? c.) After how many burning hours would we expect approximately 10% of the lamps to be left?
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