Estimate the mean and standard deviation of the

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Consider the series-parallel networks depicted below. Each system comprises four components. The time-to-failure for components (1) and (2) is exponentially distributed with a mean of one year; the time-to-failure for components (3) and (4) is exponentially distributed with a mean of two years. All failures are assumed to be statistically independent.

Note that Network A fails if (component 1 or3 fails) and(component 2 or4 fails); Network B fails if (component 1 and 2 fail) or (component 3 and4 fails).

(i) Estimate the mean and standard deviation of the time-to-failure for Network A, the time-to-failure for Network B, and the difference between the time-to-failure for the two networks. Can you be at least 99% confident that mean time to failure of the two systems is statistically different?

Reference no: EM13606633

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