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#1 Posted : 08 July 2009 14:29:00(UTC)
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Posted By prads
A component of a machine has 2 sub-components with probabilities of failure as 0.2 and 0.3 respectively. The component will fail if either one of the sub-component fail.

How do we calculate the probability of component failure in this case?

Regds,
P
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#2 Posted : 08 July 2009 14:39:00(UTC)
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Posted By Wai Ming WU
0.2x0.3+0.2X0.7+0.8x0.3=0.44

or

1-0.7X0.8=0.44
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#3 Posted : 08 July 2009 14:46:00(UTC)
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Posted By prads
Thank you, Ming. Can you please respond with the formulae also? What if there are more than 2 sub-components.

Rgds,
P
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#4 Posted : 09 July 2009 14:21:00(UTC)
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Posted By Wai Ming WU
Please refer to http://en.wikipedia.org/wiki/Complementary_event
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#5 Posted : 09 July 2009 14:50:00(UTC)
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Posted By Wai Ming WU
it seems that the following site is more appropriate:

http://en.wikipedia.org/wiki/Independent_(probability)#Independent_events
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