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Our department seminar room is lit by 7 light bulbs, controlled by a single switch. A minimum of 3 lights are needed for

Posted: Tue Apr 26, 2022 6:19 pm
by answerhappygod
Our department seminar room is lit by 7 light bulbs, controlled
by a single switch. A minimum of 3 lights are needed for the room
to be usable. Suppose the lifetime of the brand of light bulbs
fitted is exponentially distributed with a mean of 400 hours.
Assume a seminar lasts exactly 1 hour, and that the lights are
switched on only during the seminar. What is the probability that
after 500 seminars, exactly 3 bulbs do not need to be replaced? You
may need to use a calculator.