document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068944>Question 1068944</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is known that IQ scores form a normal distribution with a mu of 100 and a standard deviation of 15. Given this information, what is the probability of randomly selecting an individual with an IQ score less than 120?<BR>\n" );
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document.write( "a)9.72%<BR>\n" );
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document.write( "b)95%<BR>\n" );
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document.write( "c)Unable to answer this question with information given.<BR>\n" );
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document.write( "d)90.15%\r<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 #684188 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=684188\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first you find the z-score.\r<BR>\n" );
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document.write( "the z-score is equal to (x-m)/s\r<BR>\n" );
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document.write( "x is the x-score<BR>\n" );
document.write( "x is the raw score.<BR>\n" );
document.write( "m is the mean.<BR>\n" );
document.write( "s is the standard deviation.\r<BR>\n" );
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document.write( "the z-score in this case is z = (120-100)/15 = 20/15 = 4/3 = 1.33.....\r<BR>\n" );
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document.write( "use a z-score calculator to the highest degree of accuracy that it possesses and the probability becomes .9087887181 which is equal to roughly 90.88%.\r<BR>\n" );
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document.write( "closest selection you have is 90.15%, even though it's not right on.\r<BR>\n" );
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document.write( "a normal distribution is assumed.\r<BR>\n" );
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