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A person has 100 light bulbs whose lifetimes are independent exponentials with mean 2 hrs. If the bulbs are used one at a time, with

A person has 100 light bulbs whose lifetimes are independent exponentials with mean 2 hrs. 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 200 hours. (No continuity correction)

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