document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031844>Question 1031844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A set of 101 hypothetical CWU students were surveyed about whether they lived on or off campus and how much ice cream they ate per week. The results are shown below: \r<BR>\n" );
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document.write( "Ice Cream On-campus Off-campus <BR>\n" );
document.write( "At most two scoops 23 27 <BR>\n" );
document.write( "Three to five scoops 21 16 <BR>\n" );
document.write( "More than five scoops 5 9 \r<BR>\n" );
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document.write( " (a)   What is the probability that a randomly chosen student lives on campus? <BR>\n" );
document.write( "     <BR>\n" );
document.write( " (b)   If a person eats at most two scoops of ice cream per week, what is the probability that they live on campus? <BR>\n" );
document.write( "     <BR>\n" );
document.write( " (c)   If a person lives on campus, what is the probability that they eat at most two scoops of ice cream per week? <BR>\n" );
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document.write( " (d)   Are the events \"lives on campus\" and \"eats at most two scoops of ice cream per week\" independent? Your answer should be \"Y\" or \"N\". <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 #646508 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=646508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A set of 101 hypothetical CWU students were surveyed about whether they lived on or off campus and how much ice cream they ate per week. The results are shown below: \r<BR>\n" );
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document.write( "Ice Cream......... On-campus Off-campus...Totals <BR>\n" );
document.write( "At most two scoops... 23........ 27.........50 <BR>\n" );
document.write( "Three to five scoops. 21........ 16.........37 <BR>\n" );
document.write( "More than five scoops. 5......... 9.........14 <BR>\n" );
document.write( "Totals................49.........52.........101<BR>\n" );
document.write( " (a)   What is the probability that a randomly chosen student lives on campus?<BR>\n" );
document.write( "-----49/101<BR>\n" );
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document.write( " (b)   If a person eats at most two scoops of ice cream per week, what is the probability that they live on campus?<BR>\n" );
document.write( "-----23/50<BR>\n" );
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document.write( " (c)   If a person lives on campus, what is the probability that they eat at most two scoops of ice cream per week?<BR>\n" );
document.write( "-----23/49 <BR>\n" );
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document.write( " (d)   Are the events \"lives on campus\" and \"eats at most two scoops of ice cream per week\" independent? Your answer should be \"Y\" or \"N\".<BR>\n" );
document.write( "Question??: P(lives on camp)|eats >= 2 ) = P(lives on campus)*P(eats>=2)<BR>\n" );
document.write( "(23/50) = (49/101)(50/101)<BR>\n" );
document.write( "Answer:: No<BR>\n" );
document.write( "Therefore the events are not independent?<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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