Question: An aircraft has dual hydraulic systems. The aircraft switches to the standby system automatically if the frrst system fails. If both systems have failed, the plane will crash. Assume that the life of a hydraulic system is exponentially distributed, with a mean of 2000 air hours.
(a) If the hydraulic systems are inspected every 2500 hours, what is the probability that an aircraft will crash before that time?
(b) What danger would there be in moving the inspection point to 3000 hours?