document.write( "Question 1200592: 3. A system consists of three identical components, in order for the system to perform as intended; all of the components must perform. Each has the same probability of performance. If the system is to have a .92 probability of performance, what is the minimum probability of performance needed by each of the individual components? \n" ); document.write( "

Algebra.Com's Answer #834759 by ikleyn(52879) $\"\"$ $\"About$

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document.write( "Let x be the minimum probability of performance needed by each of the individual components \r\n" );
document.write( "    (x is the value under the problem's question).\r\n" );
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document.write( "Then the condition that the system performs properly is that each of the three\r\n" );
document.write( "components works properly.\r\n" );
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document.write( "Since the components perform independently, this condition is \r\n" );
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document.write( "    x^3 >= 0.92,\r\n" );
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document.write( "which gives\r\n" );
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document.write( "    x >=  = 0.972588826 (approximately),  or  0.9726  (rounded).   ANSWER\r\n" );
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