document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=928120>Question 928120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A motor company produces their cars in two plants.  Plant A produced 80% of all 2014 cars.  25% of all cars produced in Plant A had at least one major defect.  Plant B produced the remaining 20%.  8% of all cars produced at Plant B had at least one major defect.  A 2014 Car is selected at random.  <BR>\n" );
document.write( "a) what is the probability that it had a major defect?<BR>\n" );
document.write( "b) If a 2014 motor car is defective what is the probability that it was produced in Plant A? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563483 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Plant A: 80%(25% with at least one major defect)<BR>\n" );
document.write( "Plant B: 20%(8% with at least one major defect)<BR>\n" );
document.write( "Car selected at random<BR>\n" );
document.write( "P(had a defect) = .80(.25) + .20(.08)= .216  0r 21.06%<BR>\n" );
document.write( "......<BR>\n" );
document.write( "P(A|B) = P(A and B)/P(B)<BR>\n" );
document.write( "P(Plant A |def ) = .80(.25)/.216 = .2/.216 = .9259  0r 92.59%<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );