7. [0/7.16 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The mean time between failures (MTBF) is a common metric used to measure the performance of manufacturing systems. MTBF is the elapsed time between failures of a system during normal operations. The failures could be caused by broken machines or computer errors, among other failures. Suppose that the MTBF for a new automated manufacturing system follows an exponential distribution with a mean of 12.4 hours. (a) What is the probability that the automated manufacturing system runs for more than 17 hours without a failure? 0.2595 X (b) What is the probability that the automated manufacturing system runs for 9 or fewer hours before failure? 0.5105 X (c) What is the probability that the automated manufacturing system runs for more than 6 hours but less than 11 hours before a failure? 0.2035 X Need Help? Read It Master It