document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=610379>Question 610379</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  1    2     3    4<BR>\n" );
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document.write( "P(x)3/5 12/25  3/25  0<BR>\n" );
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document.write( "(B) <BR>\n" );
document.write( "  x  3     6    8<BR>\n" );
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document.write( "P(x)0.15  3/5  0.25<BR>\n" );
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document.write( "(C)  <BR>\n" );
document.write( "  x  20    35    40    50<BR>\n" );
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document.write( "P(x)0.45  0.25  1/4   0.05<BR>\n" );
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document.write( " each is lined above each other. <BR>\n" );
document.write( "example in (c)<BR>\n" );
document.write( "20 is directly above 0.45, 35 is directly above 0.25, 40 is directly above 1/4 etc.<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 #384354 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=384354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (A) <BR>\n" );
document.write( "x 1 2 3 4\r<BR>\n" );
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document.write( "P(x)3/5 12/25 3/25 0<BR>\n" );
document.write( "No, because the sum of the P(x)'s is greater than one.<BR>\n" );
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document.write( "(B) <BR>\n" );
document.write( "x 3 6 8\r<BR>\n" );
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document.write( "P(x)0.15 3/5 0.25<BR>\n" );
document.write( "Yes beause sum of P(x)'s = 1 and each P(x) is between 0 and 1<BR>\n" );
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document.write( "(C) <BR>\n" );
document.write( "x 20 35 40 50\r<BR>\n" );
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document.write( "P(x)0.45 0.25 1/4 0.05<BR>\n" );
document.write( "Yes for same reason as for \"B\"<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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