document.write( "Question 921918: In manufacturing a product, 85% of the products that are produced are not defective. Of the products inspected, 10% of the good ones are seen as defective and not shipped, whereas only 5% of the defective products are approved and shipped. If a product is shipped, what is the probability that it is defective? \n" ); document.write( "
Algebra.Com's Answer #578600 by tempx(1)![]() ![]() ![]() You can put this solution on YOUR website! Defective = D \n" ); document.write( "Shipped = S\r \n" ); document.write( "\n" ); document.write( "Givens: \n" ); document.write( "P(!D) = .85 \n" ); document.write( "P(D) = .15 \n" ); document.write( "P(!S|!D) = .1 \n" ); document.write( "P(S|!D) = .9 \n" ); document.write( "P(S|D) = .05 \n" ); document.write( "P(!S|D) = .95\r \n" ); document.write( "\n" ); document.write( "We use Bayes' theorem to solve: \n" ); document.write( "P(D|S)=(P(S|D)P(D))/(P(S|D)P(D)+P(S|!D)*P(!D)) = .0097 \n" ); document.write( " |