document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037363>Question 1037363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> t a tennis tournament a statistician keeps track of every serve. The statistician reported that the mean serve<BR>\n" );
document.write( "speed of a particular player was 101 miles per hour (mph) and the standard deviation of the serve speeds was<BR>\n" );
document.write( "14 mph. If nothing is known about the shape of the distribution, give an interval that will contain the speeds of<BR>\n" );
document.write( "at least three-fourths of the player's serves. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653289 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=653289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From Chebyshev's inequality, \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28abs%28X+-+mu%29+%3C=+nd%29+%3E=+1-1%2Fn%5E2%29 ALIGN=MIDDLE  ALT=\"P%28abs%28X+-+mu%29+%3C=+nd%29+%3E=+1-1%2Fn%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28abs%28X+-+101%29+%3C=+14n%29+%3E=+1-1%2Fn%5E2%29 ALIGN=MIDDLE  ALT=\"P%28abs%28X+-+101%29+%3C=+14n%29+%3E=+1-1%2Fn%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Letting n = 2, we get\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28abs%28X+-+101%29+%3C=+28%29+%3E=+1-1%2F2%5E2+=+1-1%2F4+=+3%2F4 ALIGN=MIDDLE  ALT=\"P%28abs%28X+-+101%29+%3C=+28%29+%3E=+1-1%2F2%5E2+=+1-1%2F4+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
document.write( "\n" );
document.write( "which is what is needed by the problem.\r<BR>\n" );
document.write( "\n" );
document.write( "==> the interval is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28X+-+101%29+%3C=+28 ALIGN=MIDDLE  ALT=\"abs%28X+-+101%29+%3C=+28\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-28+%3C=+X+-+101+%3C=+28 ALIGN=MIDDLE  ALT=\"-28+%3C=+X+-+101+%3C=+28\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=73+%3C=+X+%3C=+128 ALIGN=MIDDLE  ALT=\"73+%3C=+X+%3C=+128\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );