The life (in hours) of a certain kind of light bulb is a random variable with probability

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The life (in hours) of a certain kind of light bulb is a random variable with probability density function defined by

(a) What is the expected life of such a bulb?
(b) Find σ.
(c) Find the probability that one of these bulbs lasts longer than 1 standard deviation above the mean.
(d) Find the median life of these bulbs.

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