The life of an electric component has an exponential distribution with a mean of 8.9 years. What is the probability that a randomly selected one such component has a life more than 8 years? Answer: (Round to 4 decimal places.)
Solution:
Given: The life of an electric component has an exponential distribution with a mean of 8.9 years.
We have to find: the probability that a randomly selected one such component has a life more than 8 years.
That is: P( X> 8) = ..............?
Cumulative distribution function for an exponential distribution with mean is given by:
Thus for , we get:
Thus
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