At ski resorts, lifts need to be reliable. Recently, one resort tested the reliability of their 20 different lifts by using a time-terminated test. The test ran for 100 hours of continuous operation. During the test, four lifts broke down, at 40, 65, 80, and 89 hours. Calculate the mean life of the lifts. If it takes on average 12 hours to repair a lift, calculate the availability of the lifts.

Question

Quizplus · Accepted Answer

The Answer is

\lambda = - \frac { 4 } { 40 + 65 + 80 + 89 + 16 ( 100 ) } = 0.002

\Theta = 500

hours of average life before breakdown. Availability

= \frac { 500 } { 500 + 12 } = 0.977

The system is available

97.7 \%

of the time.

At Ski Resorts, Lifts Need to Be Reliable