I didn't understand this one question in my book , I looked at the k out of n system but didnt get the method in order to solve
Find distribution for n out of k system reliability
2026-03-26 18:57:50.1774551470
Non-Parametric statistics Finding distribution
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X(t) is the number of components that are working at t. [X(t) >= k] is the event "the system is working". X(t) is Binomial(n, 1 - F(t)), where F is the life distribution. [X(t) >= k] is equivalent to [T_(n-k+1) > t], where T_(k) is the kth order statistic of the lifetimes.