document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133698>Question 1133698</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A psychologist finds that the intelligence quotients of a group of patients are normally distributed, with a mean of 92 and a standard deviation of 16. Find the percent of the patients with the following IQs?<BR>\n" );
document.write( "(a) above 104<BR>\n" );
document.write( "  %\r<BR>\n" );
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document.write( "(b) between 80 and 110<BR>\n" );
document.write( "  %<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 #752067 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=752067\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A psychologist finds that the intelligence quotients of a group of patients are normally distributed, with a mean of 92 and a standard deviation of 16. Find the percent of the patients with the following IQs?<BR>\n" );
document.write( "(a) above 104%<BR>\n" );
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document.write( "z(104) = (104-92)/16 = 12/16 = 3/4<BR>\n" );
document.write( "P(x < 104) = P(z > 3/4) = normalcdf(3/4,100) = 22.66%<BR>\n" );
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document.write( "(b) between 80 and 110%<BR>\n" );
document.write( "z(80) = (80-92)/16 = -12/16 = -3/4<BR>\n" );
document.write( "z(110) = (110-92)/16 = 18/16 = 9/8<BR>\n" );
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document.write( "P(80< x <110) = normalcdf(-3/4,9/8) = 0.6431<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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