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The life of an electric component has an exponential distribution with a mean of 8.9 years....

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.)

Math   Statistics-And-Probability   
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Answer #1

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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