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math-340:m340-f15-hw:hw-26 [2015/11/08 10:31]
dcs created
math-340:m340-f15-hw:hw-26 [2015/11/10 16:40] (current)
dcs
Line 13: Line 13:
   - $f_{X,Y}(x, y) = \begin{cases} 24xy,& \text{if } x > 0, y > 0, x + y < 1,\\ 0,& \text{otherwise}.\end{cases}$.   - $f_{X,Y}(x, y) = \begin{cases} 24xy,& \text{if } x > 0, y > 0, x + y < 1,\\ 0,& \text{otherwise}.\end{cases}$.
   - $f_{X,Y}(x, y) = \begin{cases} e^{-y},&​ \text{if } 0 < x < y < \infty,\\ 0,& \text{otherwise}.\end{cases}$.   - $f_{X,Y}(x, y) = \begin{cases} e^{-y},&​ \text{if } 0 < x < y < \infty,\\ 0,& \text{otherwise}.\end{cases}$.
 +
 +Answers:
 +
 +  - 0.4924
 +  - $-\frac{1}{11}$
 +  - $-\frac{2}{3}$
 +  - $\frac{1}{\sqrt{2}}$