document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122017>Question 1122017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A survey found that&#8203; women's heights are normally distributed with mean 63.4 in. and standard deviation 2.6 in. The survey also found that&#8203; men's heights are normally distributed with a mean 67.5 in. and standard deviation 2.8. Complete parts a through c below.<BR>\n" );
document.write( "a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 8 in. and a maximum of 6 ft 4 in. Find the percentage of women meeting the height requirement.<BR>\n" );
document.write( "The percentage of women who meet the height requirement is ___&#8203;%. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738127 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ Z_{low}\,=\,\frac{56\ -\ 63.4}{2.6}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ Z_{high}\,=\,\frac{76\ -\ 63.4}{2.6}\">\r<BR>\n" );
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document.write( "Calculate your Z-scores.  Look up the Low-end score probability and subtract it from the high-end score.  Do a reality check on your results, you are nearly 3-sigma on the low end and nearly 5-sigma on the high end.  Hence your answer has to be in the very high 90s.  Provided the given mean and standard deviation are accurate, it would be extremely rare to find a woman who would be disqualified because of height.<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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