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Consider two light fixtures. Fixture #1 has 2 light bulbs. Fixture #2 has 4 light bulbs. All the bulbs
have exponentially distributed independent lifetimes with mean 1 year. Let be the time until a bulb
burns out in fixture .
(1) What is the expected time until a bulb in fixture #1 burns out? Fixture #2?
(2) What is the probability that fixture #1 is the first fixture to have a bulb burn out?

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