Chapter 5.5, Problem 13E

(a)

To determine

To find: Thedistribution of $W=\frac{Z_1}{\sqrt{\frac{Z_2^2+Z_3^2}{2}}}$ .

(b)

To determine

To show: That thee distribution of $V=\frac{Z_1}{\sqrt{\frac{Z_1^2+Z_2^2}{2}}}$

(c)

To determine

To find: The expected value of $V$ .

(d)

To determine

To find: The standard deviation of $V$ .

(e)

To determine

To explain: The distribution of $W$ and $V$ are different of the given distribution.