## Question

###### Question Help The principle of redundancy is used when system reliability is improved through redundant or...

Question Help The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 19.5% daily failure rate. Complete parts (a) through (d) below. a. What is the probability that the student's alarm clock will not work on the morning of an important final exam? (Round to three decimal places as needed.) b. If the student has two such alarm clocks, what is the probability that they both fail on the morning of an important final exam? Round to five decimal places as needed) c. What is the probability of not being awakened if the student uses three independent alarm clocks? (Round to five decimal places as needed.) d. Do the second and third alarm clocks result in greatly improved reliability? O A. Yes because you can always be certain that at least one alarm clock will work OB. Yes, because total malfunction would not be impossible, but it would be unlikely. OC. No because total malfunction would still not be unlikely D. No, because the malfunction of both is equally or more likely than the malfunction of one.

## Answers

19.57. Plop failure of of a a student's alarm clock) 2 195 1000 a) P (student's alarm clock. will not work on the mon orning of an an important final enam) a 195 1000 0.195 an. important b) P(both the alaren clock tail on the morning of final exam) a 195 2 145 20.03803 1000 being awakaned c) P ( of the student not by 3 independent alaren clocks) las x X 195 Toco (45 TODO 2 2 10.00741 A Yes, because you can always be certain that at least one alarm clock will work (because more than independent clocks failing low probability has a very

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