document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077605>Question 1077605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is in statistics<BR>\n" );
document.write( "I certain distribution s the mean is 50 and the standard deviation is 5. At least what fraction of the numbers are between the following? <BR>\n" );
document.write( "40 and 60<BR>\n" );
document.write( "35 and 65 \r<BR>\n" );
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document.write( "In distribution with the mean 80 and standard deviation 8 find the largest fraction of the numbers that could meet the following <BR>\n" );
document.write( "Less than 52 or more than 108 <BR>\n" );
document.write( "Less than 62 or more than 98 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692066 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=692066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The numbers are between +/- 2 sd s of the mean<BR>\n" );
document.write( "With Chebyshev's inequality, at least 3/4 of the numbers would be between these two.<BR>\n" );
document.write( "For the one with 3 standard deviations, it would be 8/9.<BR>\n" );
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document.write( "For the second part, this is 3.5 sd s on either side<BR>\n" );
document.write( "1/(3.5)^2=0.0816,  The fraction is 1/(49/4) or 4/49.<BR>\n" );
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document.write( "The second one would be wishing 18/8 or 2.25 sd s and that fraction would be 1/(9/4)^2=1/81/16 or 16/81 or 0.1975. </SPAN>\n" );
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