document.write( "Question 729645: Three machines A, B and C produce respectively 60%, 30% and 10 % of the total number of items of a factory. The percentage of defectives output of these machines are 2%, 3% and 4%, respectively. If an item is selected at random and is found defective. Find the probability that the selected item was produced by machine C. \n" ); document.write( "
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\n" ); document.write( "Three machines A, B and C produce respectively 60%, 30% and 10 % of the total number of items of a factory.
\n" ); document.write( "The percentage of defectives output of these machines are 2%, 3% and 4%, respectively.
\n" ); document.write( "If an item is selected at random and is found defective.
\n" ); document.write( "Find the probability that the selected item was produced by machine C.
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document.write( "The probability that this selected item was produced by the machine C is the ratio\r\n" );
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document.write( "          percentage of defective items produced by machine C\r\n" );
document.write( "    P = --------------------------------------------------------------- = \"%280.1%2A0.04%29%2F%280.6%2A0.02+%2B+0.3%2A0.03+%2B+0.1%2A0.04%29\" = 0.16.\r\n" );
document.write( "          percentage of defective items produced by all three machines\r\n" );
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document.write( "ANSWER.  The probability that the selected item was produced by machine C is 0.16, or 16%.\r\n" );
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