document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184191>Question 184191</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1602773033/algebrahomeworkh>saxon algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The table shows the results of a survey that asked students from three grade levels to pick their favorite fruit from those listed.  Find P(Banana\11).   \r<BR>\n" );
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document.write( "        10th   11th   12th<BR>\n" );
document.write( "apple   23     35     21<BR>\n" );
document.write( "orange  16     12     30<BR>\n" );
document.write( "pear    8      7      12<BR>\n" );
document.write( "banana  32     24     18\r<BR>\n" );
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document.write( "I worked it out thus far:  banana/11: 74/24=3.08 or 31%.  Am I correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138255 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=138255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The table shows the results of a survey that asked students from three grade levels to pick their favorite fruit from those listed. Find P(Banana\11). <BR>\n" );
document.write( "......10th 11th 12th<BR>\n" );
document.write( "apple. 23.. 35.. 21<BR>\n" );
document.write( "orange 16.. 12.. 30<BR>\n" );
document.write( "pear... 8... 7.. 12<BR>\n" );
document.write( "banana.32...24.. 18 <BR>\n" );
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document.write( "P(banana | 11th grade) = 24/78 = 0.3077<BR>\n" );
document.write( "Note: When you have a contingency table like this, if 11th is<BR>\n" );
document.write( "the conditional, the total of the 11th column is the denominator<BR>\n" );
document.write( "of the probability.<BR>\n" );
document.write( "You want the Probability of banana in that 11th column.  it<BR>\n" );
document.write( "is 24/78<BR>\n" );
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document.write( "Another way to do the problem:<BR>\n" );
document.write( "P(banana | 11th) = P(banana and 11th)/P(11th) = (24/grand total)/(78/grand total)<BR>\n" );
document.write( "The grand totals cancel and you end up with 24/78<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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