document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159717>Question 1159717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In an all boys school, the heights of the student body are normally distributed with a mean of 67 inches and a standard deviation of 3 inches. Out of the 836 boys who go to that school, how many would be expected to be shorter than 73 inches tall, to the nearest whole number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782784 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=782784\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z-score = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2873+-+67%29%2F3 ALIGN=MIDDLE  ALT=\"%2873+-+67%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F3 ALIGN=MIDDLE  ALT=\"6%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
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document.write( "Look up 2.00 on a z-table.  The result is 0.9772.  This means there is a 0.9772 probability a student will be shorter than 73 inches.  Since there are 836 students at the school, the expected number of students who would be shorter than 73 inches is:<BR>\n" );
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document.write( "836 * 0.9772 = 816.94...or, rounded up to 817 students. </SPAN>\n" );
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