document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153705>Question 1153705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Based on data from the College board SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325.  \r<BR>\n" );
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document.write( "a. What percentage of SAT scores are less than 1500?<BR>\n" );
document.write( "b. What percentage of SAT scores are greater than 2000?<BR>\n" );
document.write( "c. A certain US college is only willing to accept applications from students who score within 2.5 standard deviations from the mean score.  What range of SAT scores will be accepted for application? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775978 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=775978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd or (1500-1518)/325=-0.056<BR>\n" );
document.write( "probability z<-0.056=0.4777<BR>\n" );
document.write( "greater than 2000 would be z>500/325=z>1.54  This has probability of 0.0618\r<BR>\n" );
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document.write( "2.5 sds away is probability of 0.9876<BR>\n" );
document.write( "This would be scores of 650 away from the mean or between 868 and 2168. </SPAN>\n" );
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