document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1004832>Question 1004832</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear tutor, please help me with the question below.\r<BR>\n" );
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document.write( "Q.Draw a normal distribution and identify the mean of x on the distribution. Discuss the symmetry and the total area under the curve. What is the probability that a value of x will be greater than the mean?\r<BR>\n" );
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document.write( "- I understand how to draw and the symmetry of a normal distribution. but i am not sure about the last question. I assume the probability that a value of x will be grater than the mean is above z score 0? <BR>\n" );
document.write( "Please correct me if I am wrong. Thank you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621196 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=621196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Normal Distribution has:\r<BR>\n" );
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document.write( "    mean = median = mode<BR>\n" );
document.write( "    symmetry about the center<BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" >% of values less than the mean<BR>\n" );
document.write( "    and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" >% greater than the mean\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF='http://postimg.org/image/vkq7u58rr/' target='_blank'><IMG STYLE=\"max-width:80%;\" src='http://s15.postimg.org/vkq7u58rr/normal_distribution_2.jpg' border='0' alt=\"normal distribution 2\" /></a>\r<BR>\n" );
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document.write( "The number of standard deviations from the mean is also called the \"Standard Score\", \"sigma\" or \"z-score\".<BR>\n" );
document.write( "So to convert a value to a Standard Score (\"z-score\"):\r<BR>\n" );
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document.write( "    first subtract the mean,<BR>\n" );
document.write( "    then divide by the Standard Deviation\r<BR>\n" );
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document.write( "And doing that is called \"Standardizing\":\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF='http://postimage.org/' target='_blank'><IMG STYLE=\"max-width:80%;\" src='http://s14.postimg.org/cx3exvtlt/standardizing.gif' border='0' alt=\"standardizing\" /></a>\r<BR>\n" );
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