document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=558874>Question 558874</A>: <I><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<BR>\n" );
document.write( " <BR>\n" );
document.write( "P(x)<BR>\n" );
document.write( " 1/8<BR>\n" );
document.write( " 3/16<BR>\n" );
document.write( " 1/4<BR>\n" );
document.write( " 7/16<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "  \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<BR>\n" );
document.write( " <BR>\n" );
document.write( "P(x)<BR>\n" );
document.write( " 0.2<BR>\n" );
document.write( " 3/8<BR>\n" );
document.write( " 0.4<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
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document.write( "(C)  <BR>\n" );
document.write( "  x<BR>\n" );
document.write( " 20<BR>\n" );
document.write( " 35<BR>\n" );
document.write( " 40<BR>\n" );
document.write( " 50<BR>\n" );
document.write( " <BR>\n" );
document.write( "P(x)<BR>\n" );
document.write( " 0.2<BR>\n" );
document.write( " 0.4<BR>\n" );
document.write( " -0.3<BR>\n" );
document.write( " 0.7<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( " <BR>\n" );
document.write( " <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 #363243 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=363243\">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. <BR>\n" );
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( "1/8 = 2/16<BR>\n" );
document.write( "3/16<BR>\n" );
document.write( "1/4 = 4/16<BR>\n" );
document.write( "7/16<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Sum = 16/16 so it is a probability distribution<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" );
document.write( "\n" );
document.write( "P(x)<BR>\n" );
document.write( "0.2 = 2/10 = 16/80<BR>\n" );
document.write( "3/8 = 30/80<BR>\n" );
document.write( "0.4 = 4/10 = 32/80<BR>\n" );
document.write( "Does not add up to 1 so is not a probabity distribution\r<BR>\n" );
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document.write( "(C) <BR>\n" );
document.write( "x<BR>\n" );
document.write( "20<BR>\n" );
document.write( "35<BR>\n" );
document.write( "40<BR>\n" );
document.write( "50\r<BR>\n" );
document.write( "\n" );
document.write( "P(x)<BR>\n" );
document.write( "0.2<BR>\n" );
document.write( "0.4<BR>\n" );
document.write( "-0.3<BR>\n" );
document.write( "0.7<BR>\n" );
document.write( "Has a negative value in it so is not a p.d.<BR>\n" );
document.write( "=========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==========<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );