document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192579>Question 1192579</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the mean ,variance , and standard deviation of the probability distribution of the random variable X, which can take only the values  1, 2 and 3 given P(1)=10/33 , P(2)=1/3, and P(3)=12/33. Show the solutions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824501 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824501\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean is 1*10/33 +2*11/33+3*12/33<BR>\n" );
document.write( "=68/33 or 2.06<BR>\n" );
document.write( "variance is (-1.06)^2(10/33)+(-0.06)^2(11/33)+ 0.94^2 (12/33)<BR>\n" );
document.write( "=0.34+0.12+0.32<BR>\n" );
document.write( "=0.78<BR>\n" );
document.write( "sd is sqrt(0.78)=0.88 </SPAN>\n" );
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