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.
Give your answer rounded to 4 decimal places.
Our Department Seminar Room Is Lit By 7 Light Bulbs Controlled By A Single Switch A Minimum Of 3 Lights Are Needed For 1 (20.32 KiB) Viewed 40 times
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. Give your answer rounded to 4 decimal places. Answer:
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