document.write( "Question 255115: Please help me answer this question.\r
\n" );
document.write( "\n" );
document.write( "Half of a set of parts are manufactured by machine A and half by machine B. Four precent of all parts are defective. Six percent of the parts manufactured on machine A are defective. Find the probability that a part was manufactured on machine A, given that the part is defective. \n" );
document.write( "
Algebra.Com's Answer #187433 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Please help me answer this question. \n" ); document.write( "Half of a set of parts are manufactured by machine A and half by machine B. Four percent of all parts are defective. P(d) = 0.04 \n" ); document.write( "-------- \n" ); document.write( "Six percent of the parts manufactured on machine A are defective.P(d|A)=0.06 \n" ); document.write( "-------- \n" ); document.write( "Find the probability that a part was manufactured on machine A, given that the part is defective. \n" ); document.write( "-------------------------------- \n" ); document.write( "P(A|d) = P(A and d)/P(d) = [P(d|A)*P(A)]/P(d) = [0.06*0.5]/0.04 \n" ); document.write( "= 0.03/0.04 = 0.75 or 3/4 \n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |