document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157265>Question 1157265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of twelve syringes taken from the batch. Suppose the batch contains 1% defective syringes.<BR>\n" );
document.write( "(c) What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.)<BR>\n" );
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document.write( "(d) Find σ (in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.)<BR>\n" );
document.write( "σ = ___ syringes </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780113 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=780113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Accept if 0 or 1 syringes are defective<BR>\n" );
document.write( "probability 0 are defective is 0.99^12=0.8864<BR>\n" );
document.write( "probability 1 is defective is 12*0.01*0.99^11=0.1074<BR>\n" );
document.write( "The sum is 0.9938 or 0.994 probably of being accepted\r<BR>\n" );
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document.write( "np is mean or 12*0.01=0.12 syringes<BR>\n" );
document.write( "variance is np(1-p) or .12*.99=.1188<BR>\n" );
document.write( "sd is sqrt(V)=0.347 syringes  ANSWER </SPAN>\n" );
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