In: Statistics and Probability
This problem demonstrates the concept of redundancy, the principle of improving reliability of systems by using redundant or backup components. Suppose a hydraulic system on an airplane has a 5% probability of failing. Now, suppose that the airplane has three independent hydraulic systems that each have a 5% probability of failure Supposing that the airplane will safely complete its flight if at least one of the three independent hydraulic systems is functioning, what is the probability that the airplane will safely complete its flight? can you please explain in your answer