SOLUTION: The lifetime of a mechanical assembly in a vibration test is exponentially distributed with mean of 404 hours. If an assembly has been tested 300 hours without a failure, what is t

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Question 1131696: The lifetime of a mechanical assembly in a vibration test is exponentially distributed with mean of 404 hours. If an assembly has been tested 300 hours without a failure, what is the probability of a failure in the next 64 hours?

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

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