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ProblemSet9_2011 - ES300 Problem Set 9 A Y2011 N AME kli s...

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ES300 _ Problem Set 9 - AY2011 NAME: -kli sEcnON: _ _ 1. For the following fuze and high explosive mechanisms: a. Compute the overall probability of success for the following high explosive train: Detonator I pes) '" .90 f- S& A Booster Main Charge - pes) 95 - pes) .96 f--- pet) .15 Detonator 2 pes) = .93 f- P(s-j= Q- ~ -0. 9Xl-o. 9J~ X 6.~..r X o. 9~ X ~ =.::::- @. is] \ cn.~,l o.qr" b. Compute the overall probability of success for the following high explosive train: Detonator 1 Booster f- r- - pes) ,... 96 pes) '" .90 S&A Main Charge - - - pes) ~ •. 95 P(f)·o .15 Booster Detonator 2 >- - f- pes) .93 pes) '" .90 c. Compute the overall probability of success for the following system: Detonator 1 Booster - - f- co- pes)'" .96 pes) = .90 S&A2 Main Charge S&A 1 - I-- r- - pes) = .95 P(I)" .15 p(t) '" .05 Boostel~ Detonator 2 - - - - pes) = .93 pes) -" .90 t ~ <'- -_.= .. P(s) :::;; (! _. o. 0.8 ,j. I~ \ I .. ~ d. Compare the explosive trains listed in a, b alld c. I. Which is mostfunctioncilly reliable and \vhy? (6) ~\Oj h~~ ~.(t f{j}::::o reo; r~ol+ I~~~e!y -0 INO / II. Which has the highest sqre~y, reliability and why? r \ \ I f \. . kc.J ~N--Or~ _~\I!C'f2SI I f\.
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