document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=228402>Question 228402</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<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( " 0.3<BR>\n" );
document.write( " 1/5<BR>\n" );
document.write( " 1/5<BR>\n" );
document.write( " 3/10<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( " <BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "(B)  \r<BR>\n" );
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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( " 3/5<BR>\n" );
document.write( " 3/10<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "(C)  <BR>\n" );
document.write( "  \r<BR>\n" );
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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( " 0.1<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( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169550 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=169550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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" );
document.write( "\n" );
document.write( "P(x)<BR>\n" );
document.write( "0.3<BR>\n" );
document.write( "1/5<BR>\n" );
document.write( "1/5<BR>\n" );
document.write( "3/10<BR>\n" );
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document.write( "Ans: Yes because each probability is between 0 and 1<BR>\n" );
document.write( "And the sum of the probabilities is 1<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( "0.2<BR>\n" );
document.write( "3/5<BR>\n" );
document.write( "3/10<BR>\n" );
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document.write( "Ans: No because the sum of the probs is greater than 1<BR>\n" );
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document.write( "(C) \r<BR>\n" );
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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( "0.1<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( "                                                                                                                                                                Ans : Yes<BR>\n" );
document.write( "same reasons as for \"A\".<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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