# Probability of k-out-of-n Systems

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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.

https://brainmass.com/math/probability/probability-systems-23846

#### Solution Summary

The probability of k-out-of-n systems are examined. Components of functioning time is discussed.

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