document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141703>Question 1141703</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "I would appreciate it very much to get assistance with a problem:\r<BR>\n" );
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document.write( "Scores of an IQ Test have a bell-shaped distribution with a mean of 100 and a standard deviation of 17. Use the Empirical Rule to determine:<BR>\n" );
document.write( "a.What percentage of people have an IQ score between 66 and 134?<BR>\n" );
document.write( "b.What percentage of people have an IQ score less than 66 or greater than 134?<BR>\n" );
document.write( "c.What percentage of people have an IQ score greater than 151?\r<BR>\n" );
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document.write( "Thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762308 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=762308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean is 100.<BR>\n" );
document.write( "standard deviation is 17\r<BR>\n" );
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document.write( "here's a reference on the empirical rule.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.algebra.com/tutors/faq.mpl\" target = \"_blank\">https://www.algebra.com/tutors/faq.mpl</a>\r<BR>\n" );
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document.write( "if the mean is 100 and the standard deviation is 17, you get the following.\r<BR>\n" );
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document.write( "plus or minus 1 standard deviation gets you scores between 83 and 117.\r<BR>\n" );
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document.write( "plus or minus 2 standard deviations gets you scores between 66 and 134.\r<BR>\n" );
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document.write( "plus or minus 3 standard deviations gets you scores between 49 and 151.\r<BR>\n" );
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document.write( "answers to your questions are shown below.\r<BR>\n" );
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document.write( "a.What percentage of people have an IQ score between 66 and 134?\r<BR>\n" );
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document.write( "95% because this is 2 standard deviations above and below the mean.\r<BR>\n" );
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document.write( "b.What percentage of people have an IQ score less than 66 or greater than 134?\r<BR>\n" );
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document.write( "5% because 100% - 95% = 5%.\r<BR>\n" );
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document.write( "c.What percentage of people have an IQ score greater than 151? \r<BR>\n" );
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document.write( "99.7% have scores between 49 and 151.\r<BR>\n" );
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document.write( "that leaves 100% - 99.7% = .3% outside those boundaries.\r<BR>\n" );
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document.write( "half of those will be below the threshold of 49 and half of those will be above the threshold of 151.\r<BR>\n" );
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document.write( "that means .15% will have IQ scores greater than 151.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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