document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=374488>Question 374488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the mean of a normal distribution is 70 and the standard deviation is 3, what is the z-value for 73?<BR>\n" );
document.write( "given that the heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches, what is the probability of a person chosen at random having a height between 67 and 73 inches?- here I have used the Bell shape with 99.7% within the 3 standard deviation range. I am thinking I am correct on this but not sure.<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 #266410 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=266410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+1\"color=blue><b><BR>\n" );
document.write( "Hi,<BR>\n" );
document.write( "Probability of being within 1 standard deviation ~68%... within two standard deviations from the mean  ~95% and ... within 3 standard deviations ~99.7%  Probability of a person chosen at random having a height between 67 and 73 inches is within '1 standard deviation of the mean' in this example (mean of 70 inches and a standard deviation of 3 inches)\r<BR>\n" );
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document.write( "Long hand:<BR>\n" );
document.write( "P(height between 67 and 73 )<BR>\n" );
document.write( "z = 73-70/3 = 1  <BR>\n" );
document.write( "z = 67-70/3 = -1 \r<BR>\n" );
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document.write( "NORMSDIST(1) = .84135<BR>\n" );
document.write( "NORMSDIST(-1)= .15866<BR>\n" );
document.write( "P( height between 67 and 73) = .84135 - .15866 = .6827 </SPAN>\n" );
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