document.write( "Question 909156: hello please help me with this question: three different machines M1,M2,and m3 were used for producing a large batch of similar manufactured items. suppose that 20% of the items were produced by m1,30% by m2 and 50% by m3.suppose further that 1% of the items produced by m1 are defective,that2% of the items produced by m2 are defective and that 3% of the items produced by m3 are defective.
\n" ); document.write( "i) suppose one item is selected at random from the entire batch and it is found to be defective.determine the probability that this item was produced by m2
\n" ); document.write( "ii) suppose one item is selected at random from the entire batch and it is found to be nondefective. Determine the probability that it was produced by m2. \n" ); document.write( "

Algebra.Com's Answer #551773 by Edwin McCravy(20055) $\"\"$ $\"About$

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hello please help me with this question: three different machines M1,M2,and m3 were used for producing a large batch of similar manufactured items. suppose that 20% of the items were produced by m1,30% by m2 and 50% by m3.suppose further that 1% of the items produced by m1 are defective,that2% of the items produced by m2 are defective and that 3% of the items produced by m3 are defective.
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document.write( "The easiest way to understand it and to do it is to pretend that exactly \r\n" );
document.write( "1000 items were produced, 200 by m1, 300 by m2, and 500 by m3. 1% of 200 is 2,\r\n" );
document.write( "2% of 300 is 6, and 3% of 500 is 15. \r\n" );
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document.write( "         200 items produced by m1,  2 bad and 198 good.\r\n" );
document.write( "         300 items produced by m2,  6 bad and 294 good.\r\n" );
document.write( "         500 items produced by m3, 15 bad and 485 good.\r\n" );
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document.write( "Totals: 1000 items produced,       23 bad and 977 good.\r\n" );
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\n" ); document.write( "i) suppose one item is selected at random from the entire batch and it is found to be defective.determine the probability that this item was produced by m2
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document.write( "That's 6 out of 23 or 6/23 or approximately 26.1%.\r\n" );
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\n" ); document.write( "ii) suppose one item is selected at random from the entire batch and it is found to be nondefective. Determine the probability that it was produced by m2.
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document.write( "That's 294 out of 977 or 294/977 or approximately 30.1%.\r\n" );
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document.write( "Edwin

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