Thc pri c e of redundancy is used when system nelab lty improved through red nda
ID: 3350501 • Letter: T
Question
Thc pri c e of redundancy is used when system nelab lty improved through red ndant o b2ckup components. Aozume t a. whattne probablity that te students larm clock wil not wors on the moming of an importat final cxam? sa demts larm clock has 0.6% dat falure r te. Comp en pnts a) through bo ow Rcund to threc decim:l placs a: needed) b. fth tudent has twa uch alarm clocks, whart is the prabaall ty that they bot fall on tha maming cf an mportant inal cxam? Round to fve decimal places asncod:d) c. whatthe probablity of not being wakened if the studant uses three indspendcm CRoundto tve decim, places as ncedod, d. Co the second and third alam clocks rcsut in greatty Improwedrelablity? O A. No, bocase total maltunction wouls stll not ba unl kaly m clocks? O D. Yes because oucanalways be certain that ot least one alarm clck wil work.Explanation / Answer
a) P( not work) = 0.5% = 0.005
b) P( both fail) = 0.005^2 = 0.000025
c)P( fail with three clocks) = 0.005^3 = 0.000000125
d) Yes, becuase total malfunction will not be impossible, but it will be highly unlikely.
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