document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=522945>Question 522945</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.	A sample of consumers was surveyed regarding their visits to a computer chain store and if the store was conveniently located.  The following table summarizes the results of that survey:<BR>\n" );
document.write( "	<BR>\n" );
document.write( "Visits	    Convenient	Not Convenient  Totals<BR>\n" );
document.write( "   Often	60	   20	         80<BR>\n" );
document.write( "   Occasional	25	   35	         60<BR>\n" );
document.write( "   Never	5	   50	         55<BR>\n" );
document.write( "Column Totals	90	   105	         195\r<BR>\n" );
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document.write( "a.	What is this table called<BR>\n" );
document.write( "b.	Are frequency of visits and convenience independent or related?  Explain your answer.   What is the probability of a survey respondent being convenient to a store?<BR>\n" );
document.write( "c.	What is the probability of a survey respondent being not convenient to a store and never visiting a store in the chain? <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 #347111 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=347111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sample of consumers was surveyed regarding their visits to a computer chain store and if the store was conveniently located.  The following table summarizes the results of that survey:<BR>\n" );
document.write( "	<BR>\n" );
document.write( "Visits	    Convenient	Not Convenient  Totals<BR>\n" );
document.write( "   Often	         60	   20	         80<BR>\n" );
document.write( "   Occasional	25	   35	         60<BR>\n" );
document.write( "   Never	          5	   50	         55<BR>\n" );
document.write( "Column Totals	90	   105	         195\r<BR>\n" );
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document.write( "a.	What is this table called: A contingency table.<BR>\n" );
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document.write( "b.	Are frequency of visits and convenience independent or related?  Explain your answer.<BR>\n" );
document.write( "P(often) = 80/195 ; P(convenient) = 90/195<BR>\n" );
document.write( "P(often)*P(confenient) = 0.1893<BR>\n" );
document.write( "P(often | convenient) = 60/90 = 2/3 <BR>\n" );
document.write( "Since P(oft | conven) is not equal to P(oft)*P(conven) <BR>\n" );
document.write( "they are dependent factors.<BR>\n" );
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document.write( "  <BR>\n" );
document.write( "What is the probability of a survey respondent being convenient to a store?<BR>\n" );
document.write( "P(convenient+ = 90/195<BR>\n" );
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document.write( "c.	What is the probability of a survey respondent being not convenient to a store and never visiting a store in the chain?<BR>\n" );
document.write( "P(not convenient AND never visiting) = P(con | never)*P(never)<BR>\n" );
document.write( "= 5/55 * 55/195 = 5/195<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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