document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044807>Question 1044807</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the normal distribution of SAT critical reading scores for which the mean is 501 and the standard deviation is 113. Assume the variable x is normally distributed. \r<BR>\n" );
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document.write( "a) What percent of the SAT scores are less than 675? Round to two decimal places as needed. \r<BR>\n" );
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document.write( "b) You would expect that approximately how many SAT scores would be greater than 550? Round to the nearest whole number.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660252 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=660252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "=(675-501)/113<BR>\n" );
document.write( "=1.54<BR>\n" );
document.write( "want probability z < 1.54=0.9382 or 93.82%.<BR>\n" );
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document.write( "z=(550-501)/113=49/113=0.43<BR>\n" );
document.write( "probability z > 0.43 is 0.334<BR>\n" );
document.write( "I can't say how many SAT scores would be greater than 550, only the per cent, which is 33.36%, very close to one third, and 33% to the nearest whole number. </SPAN>\n" );
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