document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202186>Question 202186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a certain distribution, the mean is 50 with a standard deviation of 6. Use Chebyshev's theorem to tell the probability that a number lies in the following interval. Round your results to the nearest whole percent.\r<BR>\n" );
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document.write( "Between 20 and 80<BR>\n" );
document.write( " A) At least 94%<BR>\n" );
document.write( " B) At least 98%<BR>\n" );
document.write( " C) At least 99%<BR>\n" );
document.write( " D) At least 96%<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152450 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=152450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a certain distribution, the mean is 50 with a standard deviation of 6. Use Chebyshev's theorem to tell the probability that a number lies in the following interval. Round your results to the nearest whole percent. <BR>\n" );
document.write( "Between 20 and 80<BR>\n" );
document.write( "A) At least 94%<BR>\n" );
document.write( "B) At least 98%<BR>\n" );
document.write( "C) At least 99%<BR>\n" );
document.write( "D) At least 96%<BR>\n" );
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document.write( "(20-50)/6 = -30/6 = -5<BR>\n" );
document.write( "(80-50)/6 = 30/6 = 5<BR>\n" );
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document.write( "20 is 5 standard deviations to the left of the mean.<BR>\n" );
document.write( "80 is 5 standard deviations to the right of the mean.<BR>\n" );
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document.write( "The probability a number lies in the interval is at least 99%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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