document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824481>Question 824481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The achievement scores for a college entrance examination are normally distributed with a mean of 75 and a standard deviation of 10. What fraction of the scores would you expect to lie between 70 and 90? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496526 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=496526\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The achievement scores for a college entrance examination are normally distributed with a mean of 75 and a standard deviation of 10. What fraction of the scores would you expect to lie between 70 and 90?<BR>\n" );
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document.write( "z(90) = (90-75)/10 = 15/10 = 1.5<BR>\n" );
document.write( "z(70) = (70-75)/10 = -5/10 = -1/2<BR>\n" );
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document.write( "P(70< x <90) = P(-1/2 < z < 1.5) = normalcdf(-1/2,1.5) = 0.6247<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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