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New in Mathematica 9Enhanced Probability & Statistics

Order Statistics Distribution for General Multivariate Distribution 

A mission-critical service has three batteries with mean times to failure 1, 2, and 3. Dependencies of the failure times are assumed to be given by the Farlie-Gumbel-Morgenstern copula with parameter . Consider the event of the second battery's going out of order.
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Compute the survival function, i.e. the probability for the system to be in order after epoch t.

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Find the expected time to failure.

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Plot the survival function for 1=8.0, 2=5, and 3=4.5 for different values of copula parameter .

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