document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130880>Question 1130880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here's a website with a picture of the diagram: https://www.webassign.net/waplots/8/5/80b6596002a9fb8c3909017f691f1c.gif \r<BR>\n" );
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document.write( "The accompanying diagram represents a two-stage experiment. Here, <BR>\n" );
document.write( "B = (A &#8746; C)c.<BR>\n" );
document.write( "Complete the information on the diagram, and use it to find the following.  <BR>\n" );
document.write( "a) P(D)  <BR>\n" );
document.write( "b) P(B | D)<BR>\n" );
document.write( "c) P(Dc) <BR>\n" );
document.write( "d) P(A | Dc)<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 #747524 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=747524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Missing parts on the given diagram:<br><BR>\n" );
document.write( "(1) P(B) = 1-(1/4+1/3) = 5/12<BR>\n" );
document.write( "(2) P(Dc|A) = 1-1/3 = 2/3<BR>\n" );
document.write( "(3) P(D|B) = 1-1/5 = 4/5<BR>\n" );
document.write( "(4) P(D|C) = 1-1/6 = 5/6<br><BR>\n" );
document.write( "Answers to the questions:<br><BR>\n" );
document.write( "(a) P(D) = (1/4)(1/3)+(5/12)(4/5)+(1/3)(5/6) = 1/12+1/3+5/18 = (3+12+10)/36 = 25/36<br><BR>\n" );
document.write( "(b) P(B|D) = [P(B and D)]/P(D) = (1/3)/(25/36) = (12/36)/(25/36) = 12/25<br><BR>\n" );
document.write( "(c) P(Dc) = 1-P(D) = 11/36  (or P(Dc) = (1/4)(2/3)+(5/12)(1/5)+(1/3)(1/6) = 1/6+1/12+1/18 = (6+3+2)/36 = 11/36)<br><BR>\n" );
document.write( "(d) P(A|Dc) = [P(A and Dc)]/P(Dc) = (1/6)/(11/36) = (6/36)/(11/36) = 6/11<br> </SPAN>\n" );
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