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The time until the light in Bob’s office fails is exponentially
distributed with mean 2 hours. The time until the computer crashes
in Bob’s office is exponentially distributed with mean 3 hours.
Failure and crash times are independent. (a) Find the probability
that neither the light nor computer fail in the next 2 hours (b)
Find the probability that the computer crashes at least 1 hour
after the light fails.
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