14. A parallel system functions whenever at least one of its components works. Consider a parallel system of n components and suppose that each component independently works with probability½. Find the conditional probability that component 1 works given that the system is functioning.

Please see the attached file for the complete solution.

Thanks for using BrainMass.

14. A parallel system functions whenever at least one of its components works. Consider a parallel system of n components and suppose …

Probability and parallel systems are investigated. The solution is detailed and well presented. The response received a rating of “5” from the student who originally posted the question.