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

Algebra.Com
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)   (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

RELATED QUESTIONS

(Please enter your answers as fractions in lowest terms or as decimals rounded to four... (answered by Boreal)
(Please enter your answers as fractions in lowest terms or as decimals rounded to four... (answered by rothauserc)
The lifetime of a mechanical assembly in a vibration test is exponentially distributed... (answered by Boreal)
The lifetime of a mechanical assembly in a vibration test is exponentially distributed... (answered by Boreal)
The lifetime of a mechanical assembly in a vibration test is exponentially distributed... (answered by ikleyn)
The lifetime of a mechanical assembly in a vibration test is exponentially distributed... (answered by robertb)
An industrial engineer intends to use the mean of a random sample of size n = 150 to... (answered by stanbon)
An industrial engineer intends to use the mean of a random sample of size n = 150 to (answered by ikleyn)
Suppose atoms of a given kind have an exponential distributed lifetime with mean 30... (answered by Fombitz)