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Tutorial 3

# Tutorial 3 - 2 A bank security system consists o f three...

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2) A bank security system consists of three subsystems, each of which have redundant components acting in parallel. Assume that the security system will continue to perform its function so long as a working path from A to B exists. The probabilities that the components survive over the 10 year design life of the system are indicated on each. What is the probability that the security system will fail sometime during its design life? Assume that components operate and fail independently. Subsystem Su~sytem Subsystem 1 .. 2 3 F~ F& .' A B F7 F!O '- I" 1 '-I, l~ {, ,, 7. L nt ' + ... L C J t ~,' l ~ ... L - . I' I' / ~ r C = ~V1 ~"'t OINl I' ''Vl -eVh (., J r Ht: :::: e-ve."1t- -lhC1t \$tA~Sf .f~ ~ C f-t,,' lj / ~ --I, 1, ?, ~ ~ ~ -t h "t ~y~+e W'l -f e- d ls. ~ <).;) P [ F J: P [ \-\ \ U H 1- \J H ~ 1 - t- PCU-\l UH2U H s )CJ - \ _ p l HIe f"\ '-h e. (\ H ,( 1 ~ ( I -c."'", ~ SI.4 ~ ~1H tl'M( &or-( i", ~ - \ - P (\-1 Ie. J p ( H ~ J ~ L H ~ J V>e VV~ ~y.(. P( H,l ~ p [ r-, (\ r "l- l =- P [ f,l p[f0 -=- ". 0"\ X. v.of ~ 0. ".>, (' ~ ...-- - 'Pc;."C "\ \.t, \ • \ vul..e~ ~ \"" _ .I __ - - -- \ L - r 1 -= u. Ct X 0 .,lI X "J J ~ o.()/IPb 'P [ H"\- 1 ~ P L F ~ {\ r 4- (\ f ~- ') "'- f l r ~ 1 ? l h. J P )- J { . - l -fr. 1 n-Lf "1 -- .:> I x V. !)l. -:=. D. 0 vU ~ \3 ( rh J -- ?

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