Consider the k-out-of-n system (info on the system: A system consists of n independent components. Each component functions with probability p. The system as a whole functions if at least k components are functioning (1 <= k <= n)). The probability that a component is functioning at time t is given to be e^(-t). Compute the probability that the system is functioning at time t for n = 3, k = 2.
The probability of k-out-of-n systems are examined. Components of functioning time is discussed.