document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973371>Question 973371</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . An airline company has two types of airplanes: one for 10 passengers and one for 20<BR>\n" );
document.write( "passengers. It is known that 10% of the passengers that buy a ticket do not show up.<BR>\n" );
document.write( "You may assume that the passengers arrive independently. The airline company allows<BR>\n" );
document.write( "overbooking, so it sells 11 tickets in the plane with 10 seats and 22 in the plane with<BR>\n" );
document.write( "20 seats.<BR>\n" );
document.write( "What is the probability of an overbooked flight of the first airplane? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595585 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=595585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  An airline company has two types of airplanes: one for 10 passengers and one for 20<BR>\n" );
document.write( "passengers. It is known that 10% of the passengers that buy a ticket do not show up.<BR>\n" );
document.write( "You may assume that the passengers arrive independently. The airline company allows<BR>\n" );
document.write( "overbooking, so it sells 11 tickets in the plane with 10 seats and 22 in the plane with<BR>\n" );
document.write( "20 seats.<BR>\n" );
document.write( "What is the probability of an overbooked flight of the first airplane?<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "P(ticket holder shows up) = 0.9<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "P(all 11 ticket holders show up) = 0.9^11 = 0.3138<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );