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 9.3​% daily failure rate. Complete parts​ (a)...


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 9.3​% 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 total malfunction would still not be unlikely.






B.


​No, because the malfunction of both is equally or more likely than the malfunction of one.






C.


​Yes, because you can always be certain that at least one alarm clock will work.






D.


​Yes, because total malfunction would not be​ impossible, but it would be unlikely.






Jun 07, 2022
SOLUTION.PDF
SOLUTION.PDF

Get Answer To This Question

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here
Have files?