Question: A lifetime of some electronic unit has density f(t). Each time the unit fails, it is replaced by another one with the same lifetime distribution.

A lifetime of some electronic unit has density f(t). Each time the unit fails, it is replaced by another one with the same lifetime distribution. Let X, Y, and Z be lifetimes of three consecutive units independently installed one after the other failed.

Find: (i) P(X

fort > 0.

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