document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1108771>Question 1108771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Cape Town courier service promises that 80%of Johannesburg-bound parcel deliveries will reach their destinations within 12 hours. What is the probability that of the seven parcels sent at random times by a particular client in Cape Town, only one is delivered late? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #723928 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=723928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For only one, the probability is 7C1*(0.8)^6*(0.2)^1, The 7C1 are the 7 ways the one parcel may arrive late<BR>\n" );
document.write( "That is 7*.8^6*.2=0.3670.\r<BR>\n" );
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document.write( "This makes intuitive sense because the expected value is np=1.4, near the 1, so this will be a fairly high probability. </SPAN>\n" );
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