It is estimated that the lifetime of a system is distributed exponentially with

Question

It is estimated that the lifetime of a system is distributed exponentially with the mean lifetime of 10^4 hours. Find the probability that the lifetime will exceed 10^4 hours If the system is operational at time 10^4 hours, find the probability that it will last another 10^4 hours If the system is operational at time 10^4 hours, find the probability that it will last another 10^4 hours. If the system is operational at time 10^4 hours, find the probability that it will fail between 2 . 10^4 and 3 . 10^4 hours.

Explanation / Answer

a.

P(X>10^4)=e^-10^4*1/10^4

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