An engine production line has 3 milling machines with reliabilities of 0.98, 0.96, and 0.93, respectively. The production line was designed in a way that if one of the machines is malfunctions, the line will shut down. To increase the line's reliability, En. Abu who is the maintenance engineer has considered two designs options. Option 1 is to add an identical backup line and Option 2 is to provide a backup for each machine. The reliability of machine 1 is similar, while machines 2 and 3 are 0.97 and 0.92, respectively. Choose the best plan that will provide higher reliability. Next, explain the reason of two reliabilities is not the same. [CO2/PO2/C3] (5 marks) Z 0.0 0.1 0.2 0.3 0.4 0.5 0,6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 .00 00000 03983 07926 11791 15542 19146 22575 25804 28814 31594 34134 36433 38493 40320 41924 43319 44520 45543 46407 47128 49653 49744 .01 00399 04380 08317 12172 49813 49865 49903 .15910 19497 22907 26115 29103 31859 34375 36650 38686 47193 47725 47778 48214 48257 48610 48928 49180 49379 49534 40490 42073 02 38877 40658 42220 43448 43574 44630 44738 45637 45728 46485 46562 47257 48956 49202 49396 49547 00798 04776 .08706 12552 16276 .19847 23237 26424 49664 49752 29389 32121 34614 36864 47831 48300 48645 48679 48983 49224 49413 49560 49674 49760 49819 49825 49869 49874 49906 49910 Appendix 1 .04 .05 01197 01595 05172 .05567 09095 09483 12930 .13307 16640 .17003 20194 20540 23565 23891 26730 27035 29673 32381 34850 37076 39065 40824 42364 43699 44845 45818 46638 47320 47882 48341 48713 49010 49245 49430 49573 49683 49767 49831 49878 49913 01994 05962 09871 13683 49036 49266 49446 49585 .17364 20884 24215 27337 29955 30234 32639 32894 35083 35314 37286 37493 .39251 39435 40988 41149 42507 42647 43822 43943 44950 45053 45907 45994 46712 46784 47381 47932 48382 48745 47441 47982 48422 48778 49061 49286 49461 49598 49693 49702 49774 49781 49836 49841 49882 49886 49916 49918 .06 02392 06356 .07 02790 06749 10642 14431 10257 14058 17724 .18082 21226 21566 24537 27637 18439 21904 25175 28230 30511 30785 31057 33147 33398 35543 35769 37698 37900 39617 39796 41309 41466 42786 42922 44179 45254 24857 27935 .08 03188 07142 .11026 14803 46164 46926 33646 35993 38100 39973 41621 43056 44295 44062 45154 45352 46080 46246 46856 46995 47500 47558 47615 48030 48077 48124 48461 48500 48537 48809 48840 48870 49086 49111 49134 49305 49324 49343 49477 49492 49506 49609 49621 49632 49711 497 20 49728 49788 49795 49801 49846 49851 49856 49889 49893 49897 49921 49924 49926 .09 03586 07535 .11409 15173 18793 22240 25490 28524 31327 33891 36214 38298 40147 41174 43189 44408 45449 46327 47062 47670 48169 48574 48899 49158 49361 49520 49643 49736 49807 49861 49900 49929