Homework2_Fall2011_Solution

Homework2_Fall2011_Solution - 2- .85x + .005 = 0, has roots...

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79. Let A 1 = older pump fails, A 2 = newer pump fails, and x = P(A 1 A 2 ). Then P(A 1 ) = .10 + x, P(A 2 ) = .05 + x, and x = P(A 1 A 2 ) = P(A 1 ) P(A 2 ) = (.10 + x)( .05 + x) . The resulting quadratic equation, x
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Unformatted text preview: 2- .85x + .005 = 0, has roots x = .0059 and x = .8441. Hopefully the smaller root is the actual probability of system failure....
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Homework2_Fall2011_Solution - 2- .85x + .005 = 0, has roots...

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