document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028576>Question 1028576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two express delivery companies A and B advertise that they will deliver a package anywhere in Namibia within 24 hours.  Company A delivers 70% of such packages and company B the rest.  It is known that 5 % of the packages delivered by Company A are late, and 2% of those delivered by Company B are late.\r<BR>\n" );
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document.write( "1.Present this information on a tree diagram.\r<BR>\n" );
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document.write( "2. If a package is selected from the shipment at random what is the probability that package will be delivered late?\r<BR>\n" );
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document.write( "3.What is the probability that a package that was received late was delivered by company B? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643688 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20062)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two express delivery companies A and B advertise that they <BR>\n" );
document.write( "will deliver a package anywhere in Namibia within 24 hours.<BR>\n" );
document.write( "Company A delivers 70% of such packages and company B the <BR>\n" );
document.write( "rest.  It is known that 5 % of the packages delivered by <BR>\n" );
document.write( "Company A are late, and 2% of those delivered by Company B <BR>\n" );
document.write( "are late.<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><b>\r\n" );
document.write( "1.Present this information on a tree diagram.\r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28600%2C300%2C-1%2C15%2C-5%2C5%2C%0D%0A%0D%0Aline%280%2C0%2C3.5%2C1.75%29%2C+line%284.5%2C2.25%2C6%2C3%29%2C%0D%0A%0D%0A+line%284.5%2C1.75%2C6%2C1%29%2C%0D%0A%0D%0Aline%280%2C0%2C3.5%2C-1.75%29%2C%0D%0A+line%284.5%2C-2.25%2C6%2C-3%29%2C%0D%0A%0D%0A+line%284.5%2C-1.75%2C6%2C-1%29%2C%0D%0A%0D%0A%0D%0A%0D%0A%0D%0Alocate%281.8%2C1.75%2C0.7%29%2C+locate%281.8%2C-.29%2C0.3%29%2Clocate%283.95%2C2.3%2CA%29%2C%0D%0A%0D%0Alocate%283.95%2C-1.7%2CB%29%2C+locate%284.7%2C3.3%2C0.95%29%2C%0D%0A%0D%0Alocate%284.7%2C2%2C0.05%29%2C%0D%0A%0D%0Alocate%284.7%2C3.3-4%2C0.98%29%2C%0D%0A%0D%0Alocate%284.7%2C2-4%2C0.02%29++%0D%0A++%0D%0Alocate%286%2C3.4%2Cmatrix%281%2C3%2Con%2C%22time%2C%22%2Cprobability=%280.7%29%280.95%29=0.665%29%29%2C%0D%0Alocate%286.1%2C1.4%2Cmatrix%281%2C2%2C%22late%2C%22%2Cprobability=%280.7%29%280.05%29=0.035%29%29%2C%0D%0Alocate%286.1%2C-.6%2Cmatrix%281%2C3%2Con%2C%22time%2C%22%2Cprobability=%280.3%29%280.98%29=0.294%29%29%2C%0D%0Alocate%286.1%2C-2.6%2Cmatrix%281%2C2%2C%22late%2C%22%2Cprobability=%280.3%29%280.02%29=0.006%29%29%0D%0A%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r\n" );
document.write( "</PRE><BR>\n" );
document.write( "2. If a package is selected from the shipment at random what <BR>\n" );
document.write( "is the probability that package will be delivered late?<BR>\n" );
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document.write( "P(late) = 0.035+0.006 = 0.041\r\n" );
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document.write( "3.What is the probability that a package that was received <BR>\n" );
document.write( "late was delivered by Company B?<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "That asks for the probability that it was delivered by \r\n" );
document.write( "Company B given that it was late.\r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22P%28B%7Clate%29%22+=+P%28matrix%281%2C3%2CB%2Cand%2Clate%29%29%2F%22P%28late%29%22=.006%2F0.041=6%2F41 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
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document.write( "Edwin</PRE></b>  </SPAN>\n" );
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