document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152965>Question 1152965</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small regional carrier accepted 20 reservations for a particular flight with 19 seats. 17 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 41% chance, independently of each other. <BR>\n" );
document.write( "(Report answers accurate to 4 decimal places.)\r<BR>\n" );
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document.write( "Find the probability that overbooking occurs.     <BR>\n" );
document.write( "Find the probability that the flight has empty seats.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775141 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=775141\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> overbooking occurs if 3 or 4 show up, which has probability of 4*0.41^3*0.59 for 3 (the binomial formula) 4C3*p^3*(1-p)^1<BR>\n" );
document.write( "and 0.41^4 for all four to show up.<BR>\n" );
document.write( "This is 0.0283+0.1627=0.1910\r<BR>\n" );
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document.write( "Has empty seats means only 1 shows up<BR>\n" );
document.write( "this is 4C1*0.41^1*0.59^3=0.3368 </SPAN>\n" );
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