document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122752>Question 1122752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 30 &#8203;tablets, then accept the whole batch if there is only one or none that&#8203; doesn't meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 5&#8203;% rate of&#8203; defects, what is the probability that this whole shipment will be&#8203; accepted? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739429 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=739429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given a 5% rate of defects, probability that there are 0 in this batch is 0.95^30=0.2146<BR>\n" );
document.write( "probability there is 1 in this batch is 30*0.95^29*0.05=0.3389<BR>\n" );
document.write( "These two together mean there is a 0.5535 probability the shipment will be accepted.\r<BR>\n" );
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document.write( "Expected value is 1.5 tablets<BR>\n" );
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