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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 8.4% 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. No, because the malfunction of both is equally or more likely than the malfunction of one. B. Yes, because you can always be certain that at least one alarm clock will work. C. Yes, because total malfunction would not be impossible, but it would be unlikely. D. No, because total malfunction would still not be unlikely.

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 8.4% 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. No, because the malfunction of both is equally or more likely than the malfunction of one. B. Yes, because you can always be certain that at least one alarm clock will work. C. Yes, because total malfunction would not be impossible, but it would be unlikely. D. No, because total malfunction would still not be unlikely.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 8.4% 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. No, because the malfunction of both is equally or more likely than the malfunction of one. B. Yes, because you can always be certain that at least one alarm clock will work. C. Yes, because total malfunction would not be impossible, but it would be unlikely. D. No, because total malfunction would still not be unlikely.
Transcribed Image Text: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 8.4% 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. No, because the malfunction of both is equally or more likely than the malfunction of one. B. Yes, because you can always be certain that at least one alarm clock will work. C. Yes, because total malfunction would not be impossible, but it would be unlikely. D. No, because total malfunction would still not be unlikely.
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