document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=745209>Question 745209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the distribution of heights of a group of 200 children is normal, with a mean of 150 centimeters and a standard deviation of 15 centimeters. About how many of these children are shorter than 120 centimeters? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453764 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=453764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose the distribution of heights of a group of 200 children is normal, with a mean of 150 centimeters and a standard deviation of 15 centimeters. About how many of these children are shorter than 120 centimeters?<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "z(120) = (120-150)/[15] = -2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(x < 120) = P(z < -2) = normalcdf(-100,-2) = 0.023<BR>\n" );
document.write( "------<BR>\n" );
document.write( "# of children shorter than 120 cm is 0.023*200 = 5 when rounded up.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );