P0012_Soln - 10 p 3 1-p 29 2 5 p 4 1-p 29 p 5 ≥ 3 p 2 1-p...

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P0012_Soln.doc 5 component functions with probability 5 3 p 3 1 - p ( 29 2 + 5 4 p 4 1 - p ( 29 1 + 5 5 p 5 1 - p ( 29 0 3 component functions with probability 3 2 p 2 1 - p ( 29 1 + 3 3 p 3 1 - p ( 29 0 So, 5 component system is better than 3 component system when:
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Unformatted text preview: 10 p 3 1-p ( 29 2 + 5 p 4 1-p ( 29 + p 5 ≥ 3 p 2 1-p ( 29 + p 3 6 p 5-15 p 4 + 12 p 3-3 p 2 ≥ 3 p 2 p-1 ( 29 2 2 p-1 ( 29 ≥ p ≥ .5...
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