document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121525>Question 1121525</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sixty five percent of 12th graders attend school in a particular urban district. If a sample of 450 12th grade children is selected. \r<BR>\n" );
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document.write( "1.	Find the probability that at least 290 are actually enrolled in the school<BR>\n" );
document.write( "2.	Find the probability that less than 300 are actually enrolled in the school. <BR>\n" );
document.write( "3.	Find the probability that more than 280 are actually enrolled in the school. <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 #737508 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=737508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Convert this to a normal approximation<BR>\n" );
document.write( "np=mean or 450*0.65 or 292.5<BR>\n" );
document.write( "sd=sqrt (V), where V=292.5*0.35=102.375, so sd=10.12<BR>\n" );
document.write( "use 289.5 as continuity correction factor for 290<BR>\n" );
document.write( "(289.5-292.5)/10.12 is the z value for a, and that is -0.30<BR>\n" );
document.write( "The probability z>-0.30 is 0.6179\r<BR>\n" );
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document.write( "fewer than 300 use (299.5-292.5)/10.12, and z < 0.69  Probability z < 0.69 is 0.7549\r<BR>\n" );
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document.write( "more than 280 use 280.5 (280.5-292.5)/10.12 and z > -1.19, with probability of 0.8830<BR>\n" );
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