document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025116>Question 1025116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I wish there was an easier way to show you the question but the only way I can think of is to just type them out. I tried lining up the numbers together to make it look like a table but the website keeps pushing them in. I hope you can understand it.\r<BR>\n" );
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document.write( "Question: Which of the following could not be a probability distribution?\r<BR>\n" );
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document.write( "1.) Outcomes: 1,     2,   3,    4<BR>\n" );
document.write( "Probability: 0.10, 0.15, 0.25, 0.5\r<BR>\n" );
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document.write( "2.)Outcomes:  1,    2,    3,    4<BR>\n" );
document.write( "Probability: 0.97, 0.01, 0.01, 0.01\r<BR>\n" );
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document.write( "3.)Outcomes: 1,     2,   3,    4<BR>\n" );
document.write( "Probability:0.32, 0.42, 0.25, 0.1\r<BR>\n" );
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document.write( "4.)Outcomes: 1,     2,   3,    4<BR>\n" );
document.write( "Probability:0.43, 0.21, 0.2, 0.16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640461 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=640461\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "Question:<BR>\n" );
document.write( "I wish there was an easier way to show you the question but the only way I can think of is to just type them out. I tried lining up the numbers together to make it look like a table but the website keeps pushing them in. I hope you can understand it.<BR>\n" );
document.write( "Question: Which of the following could not be a probability distribution?<BR>\n" );
document.write( "1.) Outcomes: 1,     2,   3,    4<BR>\n" );
document.write( "Probability: 0.10, 0.15, 0.25, 0.5<BR>\n" );
document.write( "2.)Outcomes:  1,    2,    3,    4<BR>\n" );
document.write( "Probability: 0.97, 0.01, 0.01, 0.01<BR>\n" );
document.write( "3.)Outcomes: 1,     2,   3,    4<BR>\n" );
document.write( "Probability:0.32, 0.42, 0.25, 0.1<BR>\n" );
document.write( "4.)Outcomes: 1,     2,   3,    4<BR>\n" );
document.write( "Probability:0.43, 0.21, 0.2, 0.16<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "No problem.  The question is quite understandable.<BR>\n" );
document.write( "The key point here is that ANY probability distribution has the property that the sum of the probabilities of ALL the outcomes (for a discrete distribution), or the integral representing the area under the distribution should equal exactly one, not more, not less.<BR>\n" );
document.write( "Examples:<BR>\n" );
document.write( "x 1,2,3,4<BR>\n" );
document.write( "P(x) 0.1,0.2,0.3,0.4<BR>\n" );
document.write( "can be a probability distribution, because the sum of the probabilities of all possible outcomes (0.1+0.2+0.3+0.4)=1.<BR>\n" );
document.write( "while<BR>\n" );
document.write( "x -1,0,+1<BR>\n" );
document.write( "P(x) 0.2, 0.3, 0.2<BR>\n" );
document.write( "cannot be a probability distribution because 0.2+0.3+0.2=0.7 &ne; 1.<BR>\n" );
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document.write( "Proceeding along these lines, you will have no trouble spotting the \"intruder\" among the choices. </SPAN>\n" );
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