Question

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 9.2% daily failure rate Complete parts (a) through (d) below. What is the probably 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. I the student has two suchalarm clocks, what is the probability that they both tall on the moming of an important final excam? (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 warm clocks result in greatly improved reliability O A No because the malfunction of both is equally or more likely than the malfunction of one O No because total matunction would still not be unlikely OC. Yes, because you can always be certain that at least one sum dock will work OD. Yes, because total matunction would not be impossible, but it would be unlikely

Answer 1

9.2% Students alearm clock failure rate Then the probability of alarm clock will fail ix : P (clock fail) 0.092 (@) P(clock will not wôl) Prclock dail) = 0.092 (b) P (2 clocks will not work) P[clock tail) x p (clock tail) 0.092 X0.092 11 0.008464 c) P(3 clock's will not wolk) = P(clock feil) < p (clock feil) * P (clock fail) Il 0.092 X 0.092 X0.092 0.000778688 (d ) Yes, because total malfunction would not be fimpossible but it w would be unlikely. .. option D is correct.