Victor is a student who is conducting experiments with a series of lightbulbs. He started with 10
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Victor is a student who is conducting experiments with a series of lightbulbs.
He started with 10 identical lightbulbs, each of which has an exponentially distributed lifetime with a mean of 200 hours. Victor wants to know how long it will take until the last bulb burns out (or fails). At noontime he stepped out to get some lunch with 6 bulbs still on. Assume that he came back and found that none of the 6 bulbs has failed.
a. After Victor came back, what is the expected time until the next bulb failure?
b. What is the expected length of time between the fourth bulb failure and the fifth bulb failure?
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