document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622122>Question 622122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether each of the distributions given below represents a probability distribution.    Justify your answer. <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<BR>\n" );
document.write( " <BR>\n" );
document.write( "P(x)<BR>\n" );
document.write( " 1/4<BR>\n" );
document.write( " 1/12<BR>\n" );
document.write( " 1/3<BR>\n" );
document.write( " 1/6<BR>\n" );
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document.write( " <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<BR>\n" );
document.write( " <BR>\n" );
document.write( "P(x)<BR>\n" );
document.write( " 0.2<BR>\n" );
document.write( " 2/5<BR>\n" );
document.write( " 0.3<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<BR>\n" );
document.write( " <BR>\n" );
document.write( "P(x)<BR>\n" );
document.write( " 3/10<BR>\n" );
document.write( " -0.1<BR>\n" );
document.write( " 0.5<BR>\n" );
document.write( " 0.3<BR>\n" );
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document.write( " <BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #391133 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=391133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will say the first two are and the last one is not.<BR>\n" );
document.write( "The first two have a list of values, where the probabilities are all between 0 and 1 with a total of all listed of 1 or less. For those first two, assuming there are other values of x which are NOT shown, the listed values are between 0 and 1 AND their total is less than 1.\r<BR>\n" );
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document.write( "The third one has a probability entry (the secocd one) less than 0. The total is 1, but you can't have a probability less than 0. </SPAN>\n" );
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