SOLUTION: (Please enter your answers as fractions in lowest terms or as decimals rounded to four decimal places. Thank you!) If an assembly has been tested 300 hours without a fai

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Question 1131699: (Please enter your answers as fractions in lowest terms or as decimals rounded to four decimal places. Thank you!)




If an assembly has been tested 300 hours without a failure, what is the probability of a failure in the next 64 hours? The lifetime of a mechanical assembly in a vibration test is exponentially distributed with mean of 404 hours.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
mean is 1/404=0.002475
next 64 hours is what matters
1-e^(-64*0.002475) is the area under the curve that is <=64
=0.1465
graph%28300%2C300%2C-10%2C400%2C-1.2%2C1.2%2Ce%5E%28-0.002475x%29%29