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?.