The mean time between failures (MTBF) is a common metric used to measure the performance of manufacturing

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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 12.7 hours. 

a. What is the probability that the automated manufacturing system runs for more than 15 hours without a failure?

b. What is the probability that the automated manufacturing system runs for eight or fewer hours before failure? 

c. What is the probability that the automated manufacturing system runs for more than six hours but less than 10 hours before a failure?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Statistics For Business & Economics

ISBN: 9781337901062

14th Edition

Authors: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran

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