Question: A system has 4 components. It works if both component 1 and at least 2 of the other components operate, otherwise it fails. Let Y

A system has 4 components. It works if both component 1 and at least 2 of the other components operate, otherwise it fails. Let Y be the lifetime of the system. X, be the lifetime of the " component, and X,'s are iid. with a continuous distribution function F(x).
Derive the distribution function and the pdf of Y.

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