document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394628>Question 394628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a plant, 20% of all produced parts are subject to a special electronic inspection. It is known that any produced part which was inspected electronically has no defects with probability 0.95. For a part that was not inspected electronically, this probability is only 0.7. A customer receives a part and finds defect in it. What is the probability that this part went through an electronic inspection?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279967 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279967\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Out of 100 parts 20 are tested and 1 will have a defect (100*.2*.05). 80 will not be tested and 24 will have defects (100*.8*.3).<BR>\n" );
document.write( "The probability that the part the customer got went through an inspection is   1/(24+1) = 1/25 Bayes' rule.<BR>\n" );
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