document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179931>Question 1179931</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five hundred children participated in a field demonstration. Their heights<BR>\n" );
document.write( "averaged 110 cm with a standard deviation of 6 cm.\r<BR>\n" );
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document.write( "a. What is the probability that a child, picked at random, has a height<BR>\n" );
document.write( "greater than 116 cm?\r<BR>\n" );
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document.write( "b. What is the probability that the height of a child, picked at random, is<BR>\n" );
document.write( "less than 104 cm?\r<BR>\n" );
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document.write( "c. How many children belong to the upper 15% of the group? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809710 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=809710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "a. (116-110)/6 =1, so probability z >1 is probability of 0.1587.<BR>\n" );
document.write( "b. this is z=-1, since the function is symmetrical, and the same probability as a.<BR>\n" );
document.write( "c. upper 15% of the group is 500*0.15=75 children. </SPAN>\n" );
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