document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404719>Question 404719</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small feeder airline knows that the probability is .10 that a reservation holder will not show up<BR>\n" );
document.write( "for its daily 7:15 A.M. flight into a hub airport. The flight carries 10 passengers. (a) If the flight is<BR>\n" );
document.write( "fully booked, what is the probability that all those with reservations will show up? (b) If the airline overbooks by selling 11 seats, what is the probability that no one will have to be bumped? (c) That<BR>\n" );
document.write( "more than one passenger will be bumped? *(d) The airline wants to overbook the flight by enough<BR>\n" );
document.write( "seats to ensure a 95 percent chance that the flight will be full, even if some passengers may be<BR>\n" );
document.write( "bumped. How many seats would it sell? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286030 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=286030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A small feeder airline knows that the probability is .10 that a reservation holder will not show up for its daily 7:15 A.M. flight into a hub airport.<BR>\n" );
document.write( "The flight carries 10 passengers. <BR>\n" );
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document.write( "Binomial Problem with n = 10, p(not show) = 0.1 ; p(show) = 0.9<BR>\n" );
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document.write( "(a) If the flight is fully booked, what is the probability that all those with reservations will show up?<BR>\n" );
document.write( ":::(0.9)^10 = 0.3487<BR>\n" );
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document.write( "(b) If the airline overbooks by selling 11 seats, what is the probability that no one will have to be bumped? <BR>\n" );
document.write( "P(no bump) = P(0<= show <=10) = 1 - binomcdf(11,0.9,10) = 0.3138<BR>\n" );
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document.write( "(c) That more than one passenger will be bumped?<BR>\n" );
document.write( "P(2<= bumped <=10) = 1 - binomcdf(10,0.1,1) = 0.2639<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "(d) The airline wants to overbook the flight by enough<BR>\n" );
document.write( "seats to ensure a 95 percent chance that the flight will be full, even if some passengers may be<BR>\n" );
document.write( "bumped. How many seats would it sell? </SPAN>\n" );
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