document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193374>Question 1193374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have done I but need help on ii,iii,v. I need help xx\r<BR>\n" );
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document.write( "The random variable 𝑋 is given by the sum of the scores when two ordinary dice are thrown. For this experiment:<BR>\n" );
document.write( "i) Write down the sample space 𝑆.<BR>\n" );
document.write( "ii) Draw a table to show the probability distribution and the cumulative<BR>\n" );
document.write( "distribution of 𝑋.<BR>\n" );
document.write( "iii) Write down the probability function of 𝑋.<BR>\n" );
document.write( "v) Evaluate the following. You must show your working<BR>\n" );
document.write( "1. 𝑃(𝑋>8)<BR>\n" );
document.write( "2. 𝑃(|𝑋−7|<3)<BR>\n" );
document.write( "3. 𝐸(𝑋)<BR>\n" );
document.write( "4. 𝑉𝑎𝑟(𝑋)\r<BR>\n" );
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document.write( "Dices	1	2	3	4	5	6	<BR>\n" );
document.write( "1	1,1	1,2	1,3	1,4	1,5	1,6	<BR>\n" );
document.write( "2	2,1	2,2	2,3	2,4	2,5	2,6	<BR>\n" );
document.write( "3	3,1	3,2	3,3	3,4	3,5	3,6	<BR>\n" );
document.write( "4	4,1	4,2	4,3	4,4	4,5	4,6	<BR>\n" );
document.write( "5	5,1	5,2	5,3	5,4	5,5	5,6	<BR>\n" );
document.write( "6	6,1	6,2	6,3	6,4	6,5	6,6	sample space = 36<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 #825382 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=825382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the probability distribution is<BR>\n" );
document.write( "for 2 as a sum 1/36 and |x-7| is not <3<BR>\n" );
document.write( "3--2/36<BR>\n" );
document.write( "4--3/36<BR>\n" );
document.write( "5--4/36 and |x-7| IS <3, as are the next 4<BR>\n" );
document.write( "6-5/36<BR>\n" );
document.write( "7-6/36<BR>\n" );
document.write( "8-5/36<BR>\n" );
document.write( "9-4/36<BR>\n" );
document.write( "10-3/36<BR>\n" );
document.write( "11-2/36<BR>\n" );
document.write( "12-1/36<BR>\n" );
document.write( "So >8 would be 10/36 (may reduce or use decimals)<BR>\n" );
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document.write( "|x-7| < 3 would be the 5-9 group, the sum of which is 2/3<BR>\n" );
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document.write( "E(x)=7<BR>\n" );
document.write( "V(x)=sum of squared deviations:<BR>\n" );
document.write( "pair 2/12 and 3/11 and 4/10 and 5/9 and 6/8, and 7 will contribute nothing.<BR>\n" );
document.write( "25*(2/36)+16(4/36)+9(6/36)+4(8/36)+1(10/36)=(1/36)(210)=210/36=5.833\r<BR>\n" );
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document.write( "(singular die, plural dice) </SPAN>\n" );
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