document.write( "Question 629617: The school of Science and Engineering at a local university regularly purchases a particular type of electrical component. 60% are purchased from company A, and 40 % are from Company B. 2% of those supplied by company A and 1% of those supplied by Company B are known to be defective. The components are identical and thoroughly mixed on receipt.
\n" ); document.write( "(a) Draw a tree diagram to represent the possible outcomes when a
\n" ); document.write( "single component is selected at random.
\n" ); document.write( "(b) A component is selected at random.\r
\n" ); document.write( "\n" ); document.write( "(i) What is the probability that this component was supplied by
\n" ); document.write( "company A and was defective?
\n" ); document.write( "(ii) Calculate the probability that the component was defective.
\n" ); document.write( "(iii) Given that the component was defective, what is the probability
\n" ); document.write( "that it was supplied by company A?\r
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Algebra.Com's Answer #396363 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "60% are purchased from company A, and 40 % are from Company B. 
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document.write( "2% of those supplied by company A and 1% of those supplied by Company B are known to be defective.
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document.write( "(a) Draw a tree diagram to represent the possible outcomes when a single component is selected at random.
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document.write( "unable to Draw tree diagrams on this site
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document.write( " (b) A component is selected at random. 
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document.write( "(i) P(Co A and defective) =  = .012
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document.write( "    P(Co B and defective) =  
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document.write( "(ii) P(defective) =  +  = .012 + .004 = .016
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document.write( "    P(A|B) = P(A and B)/P(B)  
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document.write( "P(Co A| Def) =   \n" );
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