document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192507>Question 1192507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Forty percent of the passengers who fly on a certain route do not check in any luggage.<BR>\n" );
document.write( "The planes on this route seat 15 passengers. What is the probability that 9 or more<BR>\n" );
document.write( "passengers on a full flight do not check in their luggage?<BR>\n" );
document.write( "a. 0.610<BR>\n" );
document.write( "b. 0.095<BR>\n" );
document.write( "c. 0.944<BR>\n" );
document.write( "d. 0.404<BR>\n" );
document.write( "e. 0.869 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824387 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if you use the binomial distribution, then:<BR>\n" );
document.write( "p(x >= 9) = p(9) + p(10) + p(11) + p(12) + p(13) + p(14) + p(15).<BR>\n" );
document.write( "the formula to use is:<BR>\n" );
document.write( "p(x) = p^x * q^(n-x) * c(n,x)<BR>\n" );
document.write( "in this problem, .....<BR>\n" );
document.write( "n = 15<BR>\n" );
document.write( "x = 9 through 15<BR>\n" );
document.write( "p = .4<BR>\n" );
document.write( "q = 1 minus .4 = .6<BR>\n" );
document.write( "c(n,x) = n! / (x! * (n-x)!)\r<BR>\n" );
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document.write( "i used excel to get these figures.\r<BR>\n" );
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document.write( "the results are shown below:\r<BR>\n" );
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document.write( "your solution is that, if 40% of the passengers do not check in their luggage, then the probability that 9 or more passengers do not check their luggage is .095407.\r<BR>\n" );
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document.write( "i'll use p(9) as an example of how it works.<BR>\n" );
document.write( "when x = 9, the formula becomes p(9) =  .4^9 * .6^(15-9) * c(15,9)<BR>\n" );
document.write( "this translates to:<BR>\n" );
document.write( "p(9) = .4^9 * .6^6 * 15! / (9! * 6!)<BR>\n" );
document.write( "this results in p(9) = .0612141053.<BR>\n" );
document.write( "round to 6 decimal places, as shown in excel, and you get:<BR>\n" );
document.write( "p(9) = .061214.<BR>\n" );
document.write( "this is the same as what excel is showing you. </SPAN>\n" );
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