Question: Two light bulbs are installed at the same time, and each was taken from a batch of bulbs with an expected lifetime of 1000hours (so

Two light bulbs are installed at the same time, and each was taken from a batch of bulbs with an expected lifetime of 1000hours (so the time until each one burns out is exponentially distributed with = 1000). Whether one burns out is independent of when the otherone burns out.

What is the probability that both bulbs will still be working after 1200 hours? and What is the probability that both bulbs will have burned out before 1200 hours?

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