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

====Problem Set # 5====

**Exercises 5.10**: 24, 47, 54

**Exercises 6.10**: 18

And:

Suppose $Z \sim \mathcal{N}(0, 1)$ and $W = Z^2$. Show that the probability density function of $W$ is $g_W(w) = \begin{cases}\frac{1}{\sqrt{2\pi w}}e^{-\frac{w}{2}},& \text{if } w > 0, \\ 0,& \text{otherwise}.\end{cases}$