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7 The principle of redundancy is used when system reliability is improved through redundant or...

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7 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 17 1 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 A Yes because total malfunction would not be impossible but it would be unlikely B Yes because you can always be certain that at least one alarm clock will work C 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

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