document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158362>Question 1158362</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.38 Baggage fees:  An airline charges the following baggage fees: $25 for the first bag and $30 for the second. Suppose 53% of passengers have no checked luggage, 29% have only one piece of checked luggage and 18% have two pieces. We suppose a negligible portion of people check more than two bags.\r<BR>\n" );
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document.write( "a) The average baggage-related revenue per passenger is: $  (please round to the nearest cent) <BR>\n" );
document.write( "b) The standard deviation of baggage-related revenue is: $  (please round to the nearest cent) <BR>\n" );
document.write( "c) About how much revenue should the airline expect for a flight of 130 passengers? $  (please round to the nearest dollar)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854579 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5380)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 53%+29%+18%=100%, so the portion of people who check more than two bags must have been indeed negligible.<BR>\n" );
document.write( "The passenger who check two bags pay $25+$30=$55<BR>\n" );
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document.write( "a) The average baggage-related revenue per passenger (rounded to the nearest cent):<BR>\n" );
document.write( "The fractions of people who check 0, 1, and 2 bags are 0.53, 0.29, and 0.18 respectively, and add to 1.00,<BR>\n" );
document.write( "so the averaged revenue per passenger is the weighted average<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.53%2A%22%240%22%2B0.29%2A%22%2425%22%2B0.18%2A%22%2455%22=%22%240%22%2B%22%247.25%22%2B0.18%2A%22%249.9%22=highlight%28%22%2417.15%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "b) The standard deviation of baggage-related revenue (per passenger, in $, rounded to the nearest cent):<BR>\n" );
document.write( "The standard deviation (in $) of baggage-related revenue  per passenger can be calculated from the individuals deviations (in $) from the average:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0-17.15=-17.15 ALIGN=MIDDLE  ALT=\"0-17.15=-17.15\"   DISABLED_style= \"max-width:90%; height:auto;\" >  for 53% of the passengers,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25-17.15=7.85 ALIGN=MIDDLE  ALT=\"25-17.15=7.85\"   DISABLED_style= \"max-width:90%; height:auto;\" > for 29%, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55-17.15=37.85 ALIGN=MIDDLE  ALT=\"55-17.15=37.85\"   DISABLED_style= \"max-width:90%; height:auto;\" > for 18% of the passengers.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=sqrt%280.53%2A%28-17.15%29%5E2%2B0.29%2A7.85%5E2%2B0.18%2A37.85%5E2%29=+sqrt%280.53%2A294.1225%2B0.29%2A61.6225%2B0.18%2A1432.6225%29=sqrt%28155.884925%2B17.870525%2B257.87205%29=sqrt%28431.6275%29=highlight%2820.78%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >(in $, rounded to the nearest cent)<BR>\n" );
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document.write( "c) Revenue the airline should expect for a flight of 130 passengers (in $, rounded to the nearest dollar)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=130%2A17.15=2229.50=highlight%282230%29 ALIGN=MIDDLE  ALT=\"130%2A17.15=2229.50=highlight%282230%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >(in $, rounded to whole dollars).<BR>\n" );
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