Determine the dj of the time until the system fails to, Basic Statistics

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Determine the dj of the time until the system fails to

Suppose that an electronic system comprises four components, and let X_j denote the time until component j fails to operate (j = 1, 2, 3, 4). Suppose that Xl' x₂ , X₃, and X₄ are Li.d. random variables, each of which has a continuous distribution with d.f. F(x). Suppose that the system will operate as long as both component 1 and at least one of the other three components operate. Determine the d_J. of the time until the system fails to operate.

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