document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025751>Question 1025751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A shipment of 10 items has two defective and eight nondefective items.  In the inspection of the shipment, a sample of items will be selected and tested.  If a defective item is found, the shipment of 10 items will be rejected.  If a sample of five items is selected, what is the probability that the shipment will be rejected?<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 #641062 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641062\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A shipment of 10 items has two defective and eight nondefective items. In the inspection of the shipment, a sample of items will be selected and tested. If a defective item is found, the shipment of 10 items will be rejected. If a sample of five items is selected, what is the probability that the shipment will be rejected?<BR>\n" );
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document.write( "# of ways to select 5 nondefective = 8C5 <BR>\n" );
document.write( "# of random sets of 5 = 10C5<BR>\n" );
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document.write( "P(rejected) = P(at least one of five defective) = 1 - 8C5/10C5 <BR>\n" );
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document.write( "= 1 - 0.22 = 0.78<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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