A room is lit by 10 light bulbs. The lifetime, X, of the light bulbs follows an exponential distribution with mean μ = 1000 hours. In a time window of 2000 hours:
The light bulbs are replaced immediately upon failure.
- what is the expected number of failures?
- what is the probability that there will be more than 5 failures?
- what is the probability that there will be less than 15 failures?
The light bulbs are not being replaced upon failure.
- what is the expected number of failures?
- what is the probability that there will be more than 5 failures?
- what is the probability that there will be less than 15 failures?
