Two lighting systems are being proposed for an employee work area. One requires 50 bulbs, each having a probability of 0.05 of burning out within a month’s time. The second has 100 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. Which system is likely to require less maintenance? Answer the question by comparing the probabilities that is will require at least one bulb to be replaced at the end of 30 day.