document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433426>Question 433426</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $3.35, with a standard deviation of $26.70 Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel. \r<BR>\n" );
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document.write( "A. According to Cheb. Therom what percentage of fares fall between $20.00 and $33.40. \r<BR>\n" );
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document.write( "B. According to Cheb Therom 84% of all fares fall between $XX.XX and $XX.XX\r<BR>\n" );
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document.write( "C. Suppose the disatribution is bell shaped, according to the emperical rule, 99.7% of the fares fall between $xx.xx and $xx.xx\r<BR>\n" );
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document.write( "D. Suppose dist. is a bell curve, according to the emperical rule, what percentage of fares fall between $20.00 and $33.40 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300444 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=300444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $26.70, with a standard deviation of $3.35<BR>\n" );
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document.write( " Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel.<BR>\n" );
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document.write( "A. According to Cheb. Thereme what percentage of fares fall between $20.00 and $33.40.<BR>\n" );
document.write( "From $20 is 2 std below the mean; 33.40 is 2 std above the mean.<BR>\n" );
document.write( "Cheb says you have at least (1-(1/2)^2) = 0.75 = 75% of data between<BR>\n" );
document.write( "those limits.<BR>\n" );
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document.write( "B. According to Cheb Therem 84% of all fares fall between $XX.XX and $XX.XX<BR>\n" );
document.write( "If (1-(1/k^2) = 0.84<BR>\n" );
document.write( "1/k^2 = 0.16<BR>\n" );
document.write( "1/k = 0.4<BR>\n" );
document.write( "k = 10/4 = 5/4 standard deviations.<BR>\n" );
document.write( "(5/4)(3.35) = 2.51<BR>\n" );
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document.write( "Lower limit: $26.70-2.51 = $24.19<BR>\n" );
document.write( "Upper limit: $26.70+2.51 = $29.21<BR>\n" );
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document.write( "C. Suppose the distribution is bell shaped, according to the emperical rule, 99.7% of the fares fall between $xx.xx and $xx.xx<BR>\n" );
document.write( "Find the z-value with a left tail of 0.3/2= 0.15% = 0.0015<BR>\n" );
document.write( "invNorm(0.0015) = -2.9677<BR>\n" );
document.write( "Lower Limit: -2.9677*3.35+26.70 = $16.76 <BR>\n" );
document.write( "Upper Limit: +2.9677*3.35+26.70 = $36.64<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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document.write( "D. Suppose dist. is a bell curve, according to the emperical rule, what percentage of fares fall between $20.00 and $33.40<BR>\n" );
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