document.write( "Question 1115445: please help me answer this question:\r
\n" ); document.write( "\n" ); document.write( "A factory makes resistors using two machines (A and B). 36% are made by machine A and the rest by B. 5% of components made by machine A are defective, while 2% of those made by B are defective. Given that a resistor chosen at random is defective, what is the probability that it was made by machine A? \n" ); document.write( "

Algebra.Com's Answer #730306 by ikleyn(52800) $\"\"$ $\"About$

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document.write( "Of every 10000 resistors, 36%, i.e.  = 3600 are made by the machine A, and every 5% of these 3600, i.e.  = 180 are defective.\r\n" );
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document.write( "Of every 10000 resistors, the rest 64%, i.e.  = 6400 are made by the machine B, and every 2% of these 6400, i.e.  = 128 are defective.\r\n" );
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document.write( "Given that a resistor chosen at random is defective means that you choose it from 180+128 = 308 defective.\r\n" );
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document.write( "It is your space of events under the given restriction.\r\n" );
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document.write( "Then the conditional probability under the question is   = 0.584 = 58.4%.\r\n" );
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