The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that your alarm clock has a 0.949 probability of working on any given morning and answer the questions below.
a) What is the probability that your alarm clock will not work on the morning of an important exam?
b) If you have 2 such alarm clocks, what is the probability that they both fail on the morning of an important exam?
c) With one alarm clock, you have a 0.949 probability of being awakened. What is the probability of being awakened if you use two alarm clocks?