Question

5. A certain model of laptop computer has hardware failures of three different types: hard drive failure, battery failure, and other hardware failure. It was found that: 54% 43% 30% 18% 10% 1% of failures did not involve the battery at all of failures did not involve the hard drive at all of failures were of only the battery of failures involved a failure of hardware other than a battery or hard drive of failures involved neither the battery nor the hard drive of failures involved all three categories (a) Give the outcome space assuming that 1, 2 or 3 different hardware failures are possible. (b) Use the given information to find the probability of each of the outcomes in the outcome space you found in part (a).

Answer 1

shad, time Page No.: Data: 11 Battery taulute I hard drive teclune (HD) Tothes haud ware failure (HW) || Given : PCB9) = |- P(B) : 0.54 P(B) = q = 0.46. PC HD 2 1140) = 60.43 PCHD) - 0.57 o@ C = 0-30 e = P (BAHD nrw) = 0.01 PC HW) = q = 0.1 DTS - 0.54 PCBC) - 19+++ c) = 0.1 + f +0. $=0:14 dtett a 0.18 . d ="0-03 b = 0.46 – 10.30 +0:03+0-01 b = 0.12 e Possible outcomes a there probabilities E = Battery tailure only PLEJ) -a = '0-30.. o E = Hand drive failure only PLE): ='0.30 a

Ez = Other hardware failure except battery & hand dive PLE3) = 9 = '0.10. - . Ey = Battery and hard drive failure only PLE = b = 0.12 Es - Battery and othere hardware fail me PLE')= d = 0.03. Es = Hard drive and other hardware failure PLE6) = f = 0.14 Ez : All harddine, battery and some hardware - failure PL Ep.) =" ė=0.01. ដែរគេ