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%...

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.

(The first question I already answered, but is necessary to complete step 2 which is confusing to me. Question 1 (answer provided): Suppose that the airplane has three independent hydraulic systems that each have a 5% probability of failure. What is the probability that all three systems fail? Answer: P (System 1 and System 2 and System 3) = P (S1) * P (S2) * P (S3). P (5%) *P(5%)*P(5%) = 0.000125% probability that all three systems will fail).

Question 2: 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?