Two lighting systems are being proposed for an employee work area. One requires fifty bulbs, each having a probability 0.05 of burning out within a month's time. The second has one hundred bulbs, each with a 0.02 burnout probability. Whichever system is installed will be inspected once a month for the purpose of replacing burned-out bulbs. If we compare the probabilities that each will require at least one

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Two lighting systems are being proposed for an employee work area. One requires
fifty bulbs, each having a probability 0.05 of burning out within a month's time. The
second has one hundred bulbs, each with a 0.02 burnout probability. Whichever
system is installed will be inspected once a month for the purpose of replacing
burned-out bulbs. If we compare the probabilities that each will require at least one
bulb to be replaced each month, which system is more likely to require less
maintenance?
A and B are binomial random variables counting the number of burned-out light bulbs
in each system. (A~Bin(n = 50,p = 0.05), B~Bin(n = 100, p = 0.02)
Transcribed Image Text:Two lighting systems are being proposed for an employee work area. One requires fifty bulbs, each having a probability 0.05 of burning out within a month's time. The second has one hundred bulbs, each with a 0.02 burnout probability. Whichever system is installed will be inspected once a month for the purpose of replacing burned-out bulbs. If we compare the probabilities that each will require at least one bulb to be replaced each month, which system is more likely to require less maintenance? A and B are binomial random variables counting the number of burned-out light bulbs in each system. (A~Bin(n = 50,p = 0.05), B~Bin(n = 100, p = 0.02)
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