Statistics and Probability If the life of light bulbs produced by a factory follows an exponential distribution with an average of 1,400 hours. 1- What is the probability that one of the lamps can live at least 1800 hours without any malfunction? 2- What is the probability that a lamp will burn out within 300 hours of use? 3- If the factory owner wants to ensure that five of a thousand lamps are burning 10 hours before Usage So what is the lowest average allowed to produce

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Statistics and Probability
If the life of light bulbs produced by a factory
follows an exponential distribution with an
average of 1,400 hours.
1- What is the probability that one of the
lamps can live at least 1800 hours without
any malfunction? 2- What is the probability
that a lamp will burn out within 300 hours of
use? 3- If the factory owner wants to ensure
that five of a thousand lamps are burning 10
hours before
Usage So what is the lowest average allowed
to produce
Transcribed Image Text:Statistics and Probability If the life of light bulbs produced by a factory follows an exponential distribution with an average of 1,400 hours. 1- What is the probability that one of the lamps can live at least 1800 hours without any malfunction? 2- What is the probability that a lamp will burn out within 300 hours of use? 3- If the factory owner wants to ensure that five of a thousand lamps are burning 10 hours before Usage So what is the lowest average allowed to produce
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