14. In Example 4a we have shown that $$ E[(1 - V)] = E[(1 - U)] = frac{4}{pi} $$ when V is uniform (-1, 1)

14. In Example 4a we have shown that

$$

E[(1 - √V)²] = E[(1 - √U)²] = \frac{4}{\pi}

$$

when V is uniform (-1, 1) and U is uniform (0, 1). Show that

$$

Var[(1 - √V)²] = Var[(1 - √U)²]

$$

and find their common value.