Mathematics, 25.07.2019 01:30 lorelaistudent
The joint p. m.f. of x and y is f(x, y) = 1/6, $0 \leq x+y \leq 2$, where x and y are nonnegative integers. compute cov(x, y). g
Answers: 1
![\mathrm{Cov}(X,Y)=\mathbb E\bigg[(X-\mathbb E[X])(Y-\mathbb E[Y])\bigg]=\displaystyle{\sum\sum}\limits_{(x,y)}(x-\mathbb E[X])(y-\mathbb E[Y])f_{X,Y}(x,y)](/tpl/images/0129/3682/4ac36.png)
for all 
.
and 
:
![\mathbb E[X]=\displaystyle\sum_xxf_X(x)=0\cdot\frac12+1\cdot13+2\cdot16=\frac23](/tpl/images/0129/3682/6ee72.png)
![\mathbb E[Y]=\dfrac23](/tpl/images/0129/3682/d893e.png)
.
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The joint p. m.f. of x and y is f(x, y) = 1/6, $0 \leq x+y \leq 2$, where x and y are nonnegative in...
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