document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159631>Question 1159631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that the OUHK mail-order box employs three clerks, A, B and C, who pull items from shelves and assemble them for subsequent verification and packaging. Clerk A makes a mistake in 1% of his order (gets a wrong item or the wrong quantity), clerk B makes 5% mistakes, and clerk C makes 3% mistakes. If the person A, B and C fill 30%, 40% and 30% of all orders respectively, what are the probabilities that:\r<BR>\n" );
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document.write( " (a) a mistake will be made in an order.\r<BR>\n" );
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document.write( "(b) if a mistake is made in an order, the order was filled by the clerk A. \r<BR>\n" );
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document.write( "(c) if an order is not filled by the clerk A, a mistake is made in that order </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783194 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=783194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "The tutor @Boreal has a great table set up showing an example of 1000 orders total, and how those orders are distributed among the three workers (also whether a certain order is a mistake or not). \r<BR>\n" );
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document.write( "However, their answer for part C is not correct. The answer for part C should be 29/700 = 0.04142857142858 approximately since there are 20+9 = 29 wrong orders made by clerk B or clerk C, out of 400+300 = 700 orders total by those two clerks. Basically you ignore row A entirely as we know for certain that the order was not filled by clerk A.<BR>\n" );
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