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A random bulb from a batch of light bulbs has the probability D(t) = 1 ert of failing before t hours. If the mean lifetime of such bulbs is 1000

A random bulb from a batch of light bulbs has the probability D(t) = 1 − e−rt of failing before t
hours. If the mean lifetime of such bulbs is 1000 hours, what is the value of r?

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