Encore Lyric
New member
1. The gunner on a small assault boat fires six missiles at an attacking plane. Each has a 20% chance of being on target. If two or more of the shells find their mark, the plane will crash. At the same time, the pilot of the plane fires 10 air-to-surface rockets, each of which has a 0.05 chance of critically disabling the boat. Would you rather be on the plane or the boat?
2. Two lighting systems are being proposed for an employee work area. One requires 50bulbs, each having a probability of 0.05 of burning out within a month's time. The second has 100bulbs, 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? Compare the probabilities that each will require at least one bulb to be replaced at the end of 20 years.
3. Transportation for a rural country's 76 children is provided by a fleet of four buses. Drivers are chosen on a day-to-day basis and come from a pool of local farmers who have agreed to be "on call." What is the smallest number of drivers that need to be in the pool if the county wants to have at least a 95% probability on any given day that all the buses will run? Assume that each driver has an 80% chance of being available of contacted.
2. Two lighting systems are being proposed for an employee work area. One requires 50bulbs, each having a probability of 0.05 of burning out within a month's time. The second has 100bulbs, 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? Compare the probabilities that each will require at least one bulb to be replaced at the end of 20 years.
3. Transportation for a rural country's 76 children is provided by a fleet of four buses. Drivers are chosen on a day-to-day basis and come from a pool of local farmers who have agreed to be "on call." What is the smallest number of drivers that need to be in the pool if the county wants to have at least a 95% probability on any given day that all the buses will run? Assume that each driver has an 80% chance of being available of contacted.