Since nothing discourages return visits more than long lines, ski resorts have to move people up the mountain quickly. The list systems they use need to be reliable. This past summer, one resort tested the reliability of their 30 different lifts by using a time terminated test. The test ran for 200 hours of continuous operation. During the test, three lifts broke down, at 40, 65, and 80 hours.

1. Calculate the failure rate.

2. What is the mean time between failure (MTBF) for the lifts? Show your work.

c) If it takes an average of 24 hours to repair a lift, calculate the availability of the lifts.