document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084249>Question 1084249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer of cotton pins knows that 5% of his products are defective. If he sells cotton pins in boxes of 100 and guarantees that not more than 10 pins will be defective, what is the approximate probability that a box will have the guaranteed quantity? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #698431 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=698431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> np=5, expected value<BR>\n" );
document.write( "np(1-p)=5*0.95=4.75=variance<BR>\n" );
document.write( "sd is sqrt(4.75)=2.18<BR>\n" );
document.write( "The problem asks for the approximate probability.<BR>\n" );
document.write( "an approximation using the continuity correction factor would be<BR>\n" );
document.write( "between 5 and 10.5<BR>\n" );
document.write( "z=(10.5-5)/2.18=+2.52<BR>\n" );
document.write( "z for 5=0<BR>\n" );
document.write( "want probability that z is not greater than +2.52<BR>\n" );
document.write( "That is 0.0059<BR>\n" );
document.write( "The approximate probability asked for is 0.9941 </SPAN>\n" );
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