I have two questions about the attached problem

\[E(XY)= \sum_{x,y}^{} xy f(x,y) = 29/18 \] how does he calculated it and answered it 29/18 and the second question is that how does he calculated the values in red box (in table) ????????

@TuringTest @experimentX @satellite73 any clue?

lol here is a tedious numerical example!

I am stuck at numerical calculation of this example I don't understand how does he calculated it

you just have to grind it til you find it that is why it is tedious

\[\sum_{x,y}xyf(x,y)\] means sum over all possible pairs

how?

so we can begin to compute. for example if \(x=1,y=-1\) you get \[1\times (-1)\times \frac{1}{18}=-\frac{1}{18}\]\]

can we do it like \[\sum_{x}^{?} xf(x) \sum_{y}^{?}yf(y)\] ?????

nope

ok, but in table it's 1/18 not -1/18

you have to do what is says and you have \(3\times 3=9\) products to consider

ok lets go slow

\[f(1,-1)=\frac{1}{18}\] from the table right?

how did you calculate it~?

i didn't i looked in the table under the appropriate slot

but it should be -1/18 why is it 1/18 in the table is it some printing mistake?

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