Suppose that an electronic system comprises four components, and let Xj denote the time until component j fails to operate (j 1, 2, 3, 4) Suppose that X1, X2, X3, and X4 are i i d random variables, each of which has a continuous distribution with c 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 c d f of the time until the system fails to operate

Question: Suppose that an electronic system comprises four components, and let Xj denote the time until component j fails to operate (j = 1, 2, 3,

Suppose that an electronic system comprises four components, and let Xj denote the time until component j fails to operate (j = 1, 2, 3, 4). Suppose that X1, X2, X3, and X4 are i.i.d. random variables, each of which has a continuous with c.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 c.d.f. of the time until the system fails to operate.

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