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2.74 Let X = the time to failure of a light bulb. Assume that X is exponentially distributed. (a) If the mean time to failure

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2.74 Let X = the time to failure of a light bulb. Assume that X is exponentially distributed. (a) If the mean time to failure is 10,000 hours, what is the median time to failure? (b) What is the probability that the bulb will last at least 1000 hours? (c) What is the probability that the bulb will burn an additional 1000 hours if it has already burned for 1000 hours

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