document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978628>Question 978628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume the IQ score of the students at your university are normally distributed with µ = 115 and &#416; = 8. If you randomly sample one score from this distribution, what is the probability it will be<BR>\n" );
document.write( "a. Higher than 130?<BR>\n" );
document.write( "b. Between 110 and 125?<BR>\n" );
document.write( "c. Lower than 100? <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 #600005 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=600005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "=(130-115)/8 =1.875<BR>\n" );
document.write( "Probability z>1.875 (should be small): 0.0304\r<BR>\n" );
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document.write( "Similarly the next one is z between (-.625 and +1.125), as it is -5/8  and +10/8<BR>\n" );
document.write( "That should be fairly large, and it is 0.6037<BR>\n" );
document.write( "Lower than 100 is -1.875 for z, and that is the same as being greater than 130, or 0.0304\r<BR>\n" );
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