document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=851026>Question 851026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An urn contains 10 marbles, each of which shows a number. Five marbles show 1,two marbles show 2 and three show 3.<BR>\n" );
document.write( "A marble is drawn at random. If x is the number that shows find the followings:<BR>\n" );
document.write( "     <BR>\n" );
document.write( "	 The probability distribution and the cumulative distribution of the random variable  x.<BR>\n" );
document.write( "	 p(1&#8804;x&#8804;3),p(x<3)  .<BR>\n" );
document.write( "	Find the mean of the random variable X.<BR>\n" );
document.write( "	Calculate the variance and standard deviation of the random variable X.<BR>\n" );
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 #512522 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=512522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An urn contains 10 marbles, each of which shows a number. <BR>\n" );
document.write( "Five marbles show 1,<BR>\n" );
document.write( "two marbles show 2  <BR>\n" );
document.write( "three show 3.<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "A marble is drawn at random. <BR>\n" );
document.write( "If x is the number that shows find the following:\r<BR>\n" );
document.write( "\n" );
document.write( "The probability distribution and the cumulative distribution of the random variable x<BR>\n" );
document.write( "P(x = 1) = 1/2<BR>\n" );
document.write( "p(x = 2) = 1/5<BR>\n" );
document.write( "p(x = 3) = 3/10<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "p(1&#8804;x&#8804;3) = (5/10)+(2/10)+(3/10) = 1<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "p(x<3) = 1 - (5/10) + (2/10) = 7/10<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Find the mean of the random variable X.<BR>\n" );
document.write( "Mean = 1(5/10)+2(2/10)+3(3/10) = (5 + 4 + 9)/10 = 18/10 = 1.8<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "variance = 0.7599<BR>\n" );
document.write( "std = 0.8718<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "======================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );