In: Statistics and Probability
A manufacturer of compact fluorescent light bulbs advertises
that the distribution of the lifespans of these light bulbs is
nearly normal with a mean of 9,000 hours and a standard deviation
of 1,000 hours.
(a) What is the probability that a randomly chosen light bulb lasts
more than 10,500 hours?
(please round to four decimal places) (b) Describe the
distribution of the mean lifespan of 15 light bulbs.
(c) What is the probability that the mean lifespan of 15
randomly chosen light bulbs is more than 10,500 hours?
(please round to four decimal places)
Solution: Here concept of normally distributed random variable is used.
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