document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204105>Question 1204105</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select and test 38 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 7000 ​batteries, and ​2% of them do not meet specifications. What is the probability that this whole shipment will be​ accepted? Will almost all such shipments be​ accepted, or will many be​ rejected? The probability that this whole shipment will be accepted is    enter your response here.​(Round to four decimal places as​ needed.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840141 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52946)</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=840141\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "I'd like to make some comments after the solution by @Theo.\r<BR>\n" );
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document.write( "As @Theo shown in his post, the test accepts almost all shipments &nbsp;($99.31%)<BR>\n" );
document.write( "and rejects very few shipments &nbsp;(%0.69).\r<BR>\n" );
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document.write( "It means that the test is not adequate and does not perform its functions properly.\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It is not surprising.\r<BR>\n" );
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document.write( "It is obvious that in order for the test works adequately, &nbsp;it must recognize &nbsp;2% &nbsp;of the control size.\r<BR>\n" );
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document.write( "If three defective batteries are admitted in the shipment, &nbsp;it means that the size of the control set<BR>\n" );
document.write( "must be about  &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F0.02 ALIGN=MIDDLE  ALT=\"3%2F0.02\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 150 batteries.\r<BR>\n" );
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document.write( "With the control size of &nbsp;38 &nbsp;batteries, &nbsp;3 defective batteries make the gap of  &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F38 ALIGN=MIDDLE  ALT=\"3%2F38\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.079 = 7.8%,<BR>\n" );
document.write( "which is too wide and admits &nbsp;(passes) &nbsp;too many defective shipments.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It is what a person, &nbsp;who solves this problem, \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;should understand after completing the solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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