document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=457458>Question 457458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> IQ test scores are randomized to produce a normal distribution with a mean of 100 and a standard deviation of 15. Find the proportion of the population in each of the following:<BR>\n" );
document.write( "a. IQ greater than 140<BR>\n" );
document.write( "b. IQ from 120-140<BR>\n" );
document.write( "c. IQ 90-109 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #313861 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=313861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> IQ test scores are randomized to produce a normal distribution with a mean of 100 and a standard deviation of 15. Find the proportion of the population in each of the following:<BR>\n" );
document.write( "a. IQ greater than 140<BR>\n" );
document.write( "z(140) = (140-100)/15 = 40/15 = 8/3<BR>\n" );
document.write( "P(x > 140) = P(z > 8/3) = 0.00383<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "b. IQ from 120-140<BR>\n" );
document.write( "z(120) = (120-100)/15 = 20/15 = 4/3<BR>\n" );
document.write( "P(120< x <140) = P(4/3< z <8/3) = 0.08738<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "c. IQ 90-109<BR>\n" );
document.write( "z(90) = -10/15 = -2/3<BR>\n" );
document.write( "z(109) = 9/15 = 3/5<BR>\n" );
document.write( "P(90 < x < 109) = P(-2/3 < z < 3/5) = 0.4733<BR>\n" );
document.write( "==================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );