In Problem 7, suppose that it takes a random time, uniformly distributed over (0, .5), to replace
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Problem 7
A person has 100 light bulbs whose lifetimes are independent exponentials with mean 5 hours. If the bulbs are used one at a time, with a failed bulb being replaced immediately by a new one, approximate the probability that there is still a working bulb after 525 hours.
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If we let X i denote the life of bulb i and let R i be the time to replace bulb ...View the full answer
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