The limit state equation for a particular failure mechanism is: Z = 50+ The variables have the following values: Variable X₁ X₂ X3 5X₁-4X2-2X3 + X4 Mean X₁ [12.25 15 10 15 5 s.d. The variables X1, X₂ and X3 are correlated and the covariance matrix is: X₁ X₂ X3 -5 2 X₂ -5 9-4 X3 2 -4 6.25 3.5 3.0 2.5 1.5 Determine the reliability index of the system: (i) assuming no correlation effects; and (ii) allowing for correlation.

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