document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183718>Question 1183718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Of grocery shoppers who have a shopping cart, 70 percent pay by credit/debit card (event C1), 20 percent pay cash (event C2), and 10 percent pay by check (event C3). Of shoppers without a grocery cart, 50 percent pay by credit/debit card (event C1), 40 percent pay cash ((event C2), and 10 percent pay by check (event C3). On Saturday morning, 80 percent of the shoppers take a shopping cart (event S1) and 20 percent do not (event S2).\r<BR>\n" );
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document.write( "a)	Construct a contingency table base on the statement above. 		 <BR>\n" );
document.write( "b)	Sketch a tree diagram based on these data. 				 <BR>\n" );
document.write( "c)	Calculate the probability of all joint probabilities            </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814179 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will do only part (c).  (You should be able to do part (b) from the way I wrote the probabilities below.)\r<BR>\n" );
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document.write( "P(with shopping cart ∩ card)  = 0.56<BR>\n" );
document.write( "P(with shopping cart ∩ cash)  = 0.16<BR>\n" );
document.write( "P(with shopping cart ∩ check) = 0.08\r<BR>\n" );
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document.write( "P(without shopping cart ∩ card)  = 0.10<BR>\n" );
document.write( "P(without shopping cart ∩ cash)  = 0.08<BR>\n" );
document.write( "P(without shopping cart ∩ check) = 0.02\r<BR>\n" );
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