Question: 8. Consider a system of n identical components operating independently. Suppose the lifetime, in months, is exponentially distributed with mean 1/. These components are installed

8. Consider a system of n identical components operating independently. Suppose the lifetime, in months, is exponentially distributed with mean 1/λ. These components are installed in series, so that the system fails as soon as the first component fails.

Find the probability density function of the life of the system, and then, find its mean and variance.

7.5 USING JMP This section is not included here but is available for download from the book website:

www.wiley.com/college/gupta/statistics2e.

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