=====Mathematics 340 - Fall 2015=====

====Problem Set # 6====

**Exercises 6.10**: 15, 23

**Exercises 7.8**: 17, 35

And:

  - Suppose $X$ and $Y$ are jointly continuous random variables with joint probability density function $f_{X,Y}(x,y) = \begin{cases}8xy,& \text{if } 0 < x < y < 1,\\ 0,& \text{otherwise}.\end{cases}$ Find each of the following:
    - $E(X)$
    - $E(Y^2)$
    - $E(XY^3)$