document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867208>Question 867208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer has 3 machines b1 , b2 and b3 , make 35&#1642; , 40% ,25%, respectively , of the products. It is known from past experience that 2% , 3% and 1% of the products made by each machine respectively are defective. If a finished product is randomly selected\r<BR>\n" );
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document.write( "a.what is the probability that it is defective ?<BR>\n" );
document.write( "b.what is the probability that it is not defective ?<BR>\n" );
document.write( "c.if the product is defective , what is the probability it was made by machine b3?<BR>\n" );
document.write( "d.if the product is not defective , what is the probability that it was made by machine b1 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #522841 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=522841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A Previously Posted Solution<BR>\n" );
document.write( "one product chosen<BR>\n" );
document.write( "P(def) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.02%2A.35+%2B+.03%2A.40+%2B+.01%2A.25+=+.007+%2B+.0012+%2B+.0025+=+.0107 ALIGN=MIDDLE  ALT=\".02%2A.35+%2B+.03%2A.40+%2B+.01%2A.25+=+.007+%2B+.0012+%2B+.0025+=+.0107\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(not def) = 1 - P(def) = .9893<BR>\n" );
document.write( "P(B3 |def) = .0025/.0107<BR>\n" );
document.write( "P(B1 |not def) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.98%2A.35++%2F.9893 ALIGN=MIDDLE  ALT=\".98%2A.35++%2F.9893\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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