document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=368382>Question 368382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the table that follows, answer the following questions:<BR>\n" );
document.write( "x  y\r<BR>\n" );
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document.write( "1  1/3\r<BR>\n" );
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document.write( "2  2/3\r<BR>\n" );
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document.write( "3   1\r<BR>\n" );
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document.write( "4\r<BR>\n" );
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document.write( "Determine whether each of the distributions given below represents a probability distribution.    Justify your answer.\r<BR>\n" );
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document.write( "(A)<BR>\n" );
document.write( " x<BR>\n" );
document.write( " 1<BR>\n" );
document.write( " 2<BR>\n" );
document.write( " 3<BR>\n" );
document.write( " 4\r<BR>\n" );
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document.write( "P(x)<BR>\n" );
document.write( " 0.01<BR>\n" );
document.write( " 7/12<BR>\n" );
document.write( " 1/12<BR>\n" );
document.write( " 1/4\r<BR>\n" );
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document.write( "(B)<BR>\n" );
document.write( " x<BR>\n" );
document.write( " 3<BR>\n" );
document.write( " 6<BR>\n" );
document.write( " 8\r<BR>\n" );
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document.write( "P(x)<BR>\n" );
document.write( " 0.24<BR>\n" );
document.write( " 3/5<BR>\n" );
document.write( " 0.135\r<BR>\n" );
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document.write( "(C)<BR>\n" );
document.write( " x<BR>\n" );
document.write( " 20<BR>\n" );
document.write( " 30<BR>\n" );
document.write( " 40<BR>\n" );
document.write( " 50\r<BR>\n" );
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document.write( "P(x)<BR>\n" );
document.write( " 0.33<BR>\n" );
document.write( " 0.02<BR>\n" );
document.write( " -0.04<BR>\n" );
document.write( " 0.69\r<BR>\n" );
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document.write( "-  Would the correlation between x and y in the table above be positive or negative?\r<BR>\n" );
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document.write( "-  Find the missing value of y in the table.\r<BR>\n" );
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document.write( "-  How would the values of this table be interpreted in terms of linear regression?\r<BR>\n" );
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document.write( "-  If a “line of best fit” is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative?\r<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 #262517 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=262517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A) No, the sum of probabilities is not equal to 1.<BR>\n" );
document.write( "B) No, the sum of probabilities is not equal to 1.<BR>\n" );
document.write( "C) No, all probability values must be non-zero. <BR>\n" );
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