document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192755>Question 1192755</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A company produces machine components which pass through an automatic testing machine. 5% of the components entering the testing machine are defective. However, the machine is not entirely reliable. If a component is defective, there is 4% probability that it will not be rejected. If a component is not defective, there is 7% probability that it will be rejected i. Represent this information in a tree diagram ii. What fraction of all the components are rejected? iii. What fraction of the components rejected are actually not defective? iv. What fraction of those not rejected are defective<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 #824700 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824700\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A company produces machine components which pass through an automatic testing machine. <BR>\n" );
document.write( "5% of the components entering the testing machine are defective. <BR>\n" );
document.write( "However, the machine is not entirely reliable. <BR>\n" );
document.write( "If a component is defective, there is 4% probability that it will not be rejected. <BR>\n" );
document.write( "If a component is not defective, there is 7% probability that it will be rejected <BR>\n" );
document.write( "i. Represent this information in a tree diagram <BR>\n" );
document.write( "ii. What fraction of all the components are rejected? <BR>\n" );
document.write( "iii. What fraction of the components rejected are actually not defective? <BR>\n" );
document.write( "iv. What fraction of those not rejected are defective<BR>\n" );
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document.write( "(ii)    Fraction of all rejected components = 0.05*(1-0.04) + (1-0.05)*0.07 = 0.1145.    <U>ANSWER</U>\r\n" );
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document.write( "        The formula is self-explanatory.\r\n" );
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document.write( "(iii)   Fraction of the rejected components that are actually not defective = (1-0.05)*0.07.    <U>ANSWER</U>\r\n" );
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document.write( "        The formula is self-explanatory.\r\n" );
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