document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=448768>Question 448768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> assuming that the heights of boys in a high school basketball tournament are normally distributed, with mean 70 inches and standard deviation 2.5 inches, how many boys in a group of 40 do we expect to be taller than 75 inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308753 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=308753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming that the heights of boys in a high school basketball tournament are normally distributed, with mean 70 inches and standard deviation 2.5 inches, how many boys in a group of 40 do we expect to be taller than 75 inches?<BR>\n" );
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document.write( "z(75) = (75-70)/2.5 = 2<BR>\n" );
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document.write( "P(a random boy is taller than 75\") = P(z > 2) = 0.02275<BR>\n" );
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document.write( "Expected # of group of 40 to be over 75\" = 0.02275*40 = 0.9100<BR>\n" );
document.write( "Rounded up the expected number is 1.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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