document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=615496>Question 615496</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)\r<BR>\n" );
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document.write( "x     1    2    3    4<BR>\n" );
document.write( "p(x)  3.8  1/2  7/24 1/3\r<BR>\n" );
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document.write( "(b)\r<BR>\n" );
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document.write( "x     3      6      8<BR>\n" );
document.write( "p(x)  2/25   .1     4.5\r<BR>\n" );
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document.write( "(c)\r<BR>\n" );
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document.write( "x      20     35     40     50\r<BR>\n" );
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document.write( "p(x)  0.54    0.12   -0.03  0.37 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387201 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=387201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For each probability distribution, add up all the probabilities. If you get 1 as a result, then it's a true probability distribution. If you don't get 1, then it's not a probability distribution.\r<BR>\n" );
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document.write( "Ex:\r<BR>\n" );
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document.write( "In choice A), add up the probabilities 3.8, 1/2, 7/24, and 1/3 to get 3.8+1/2+7/24+1/3 = 4.925\r<BR>\n" );
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document.write( "which is NOT 1, so choice A is NOT a probability distribution\r<BR>\n" );
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document.write( "Do the same for the other answer choices. </SPAN>\n" );
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