document.write( "Question 1206245: The failure rate for a guided missile control system is 8 in 1,000. Suppose that a duplicate but completely independent control system is installed in each missile so that, if the first fails, the second can take over. The reliability of a missile is the probability that it does not fail. What is the reliability of the modified missile?
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Algebra.Com's Answer #843534 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The failure rate for a guided missile control system is 8 in 1,000. Suppose that
\n" ); document.write( "a duplicate but completely independent control system is installed in each missile
\n" ); document.write( "so that, if the first fails, the second can take over. The reliability of a missile
\n" ); document.write( "is the probability that it does not fail. What is the reliability of the modified missile?
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document.write( "The probability that one control system will fail is 8/1000 = 0.008.\r\n" );
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document.write( "Since the control systems are independent, the probability that both control systems will fail is\r\n" );
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document.write( "    P =  =  =  = 0.000064.\r\n" );
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document.write( "The probability that at least one control system of two will survive and will work is the complement to it\r\n" );
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document.write( "    P' = 1-P = 1 - 0.000064 = 0.999936.\r\n" );
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document.write( "ANSWER.  The probability that at least one control system of two will survive and will work is 0.999936.\r\n" );
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document.write( "         In other words, the reliability of the doubled control system is 0.999936.\r\n" );
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