document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255096>Question 255096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the probability distribution of a random variabile x can be described by the formula p(x) = x over 15 (as a fraction) for each of the values  x= 1, 2, 3, 4, and 5.   \r<BR>\n" );
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document.write( "A.  Write out the probability distribution of x.<BR>\n" );
document.write( "B.  Show that the proability distribution of x satisfies the properties of a discrete probability distribution.<BR>\n" );
document.write( "C. Calculate the mean of x (I got 3)<BR>\n" );
document.write( "D. Calculate the variance, dsquared,x and the standard deviation dx.<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 #187403 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=187403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that the probability distribution of a random variabile x can be described by the formula p(x) = x over 15 (as a fraction) for each of the values x= 1, 2, 3, 4, and 5. <BR>\n" );
document.write( "A. Write out the probability distribution of x.<BR>\n" );
document.write( "Make ordered pairs like (1,1/5),(2,1/5),(3/1/5)..etc<BR>\n" );
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document.write( "B. Show that the proability distribution of x satisfies the properties of a discrete probability distribution.<BR>\n" );
document.write( "All the probabilities add up to 1 and each is between 0 and 1.<BR>\n" );
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document.write( "C. Calculate the mean of x (I got 3)<BR>\n" );
document.write( "Mean = sum of (1*1/5)+(2*1/5) +.... = (1+2+3+4+5)/5 = 15/5 = 3<BR>\n" );
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document.write( "D. Calculate the variance, dsquared,x and the standard deviation dx.<BR>\n" );
document.write( "They probably want you to show you can do this the long way.<BR>\n" );
document.write( "Use the formula in your book.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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