document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074110>Question 1074110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To tutors: Hope this can be explained simply. (fractions, division etc)<BR>\n" );
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document.write( "Dan called 500 households (in riding) to see peoples voting intentions. He collected the following responses to 4 options:\r<BR>\n" );
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document.write( "Rep. Bill       218  (votes)<BR>\n" );
document.write( "Rep. Joyce  102  (votes)<BR>\n" );
document.write( "Rep. Nancy   89  (votes)<BR>\n" );
document.write( "Undecided    91  (votes)\r<BR>\n" );
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document.write( "What is the theoretical probability that a person Dan spoke to would select Joyce?\r<BR>\n" );
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document.write( "What is the experimental probability that a person Dan spoke to would select Bill? ( as % )\r<BR>\n" );
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document.write( "If a person was randomly selected, what is the probability he/she would select Nancy? ( as dec.)\r<BR>\n" );
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document.write( "Would you use experimental or theoretical of the probability? What other factors might be needed when predicting the person's responses?<BR>\n" );
document.write( "Explain your reasoning.<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 #688860 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=688860\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Theoretical probability is based on the sample space, in this case there are 4 options, therefore<BR>\n" );
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document.write( "Theoretical probability of selecting Joyce is 1/4 or 25%<BR>\n" );
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document.write( "Experimental probability of selecting Bill is 218/500 which is 43.6%<BR>\n" );
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document.write( "Probability of selecting Nancy is 89/500 is 0.178<BR>\n" );
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document.write( "As the number of people polled increases we should see the experimental probabilities approach the theoretical probabilities.  In this case, Dan must be careful to poll an equal number of people with different political affiliations, that is, same number of democrats, republicans and independents.  Popularity is another concern.<BR>\n" );
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