Hi David,
First of - your material is really oustanding. From my perspective as a trainer it’s is really making sure that all senses are used during the learning process.
I am reviewing Quant Study Notes again and got stuck at a very basic case. While I know that basically you can add the variance of two independent random variables together, the result I get when calculating it with a spreadsheet similarly to the one you used for the variance of one die is different.
WA X X P WA X^2
0.055555556 2 1 0.111111111
0.166666667 3 2 0.5
0.444444444 4 4 1.777777778
0.555555556 5 4 2.777777778
0.666666667 6 4 4
1.166666667 7 6 8.166666667
0.888888889 8 4 7.111111111
1 9 4 9
1.111111111 10 4 11.11111111
0.611111111 11 2 6.722222222
0.333333333 12 1 4
7 36 55.27777778 49 6.277777778
This should result in 5.83 not 6.28, right? What I am doing wrong?
Many thanks
Mike