For the distribution with unknow $$\theta$$
$$f(x, \theta) = \begin{cases}\frac{1}{\theta}; & 0 \leq x \leq \theta\\0, & elsewhere\end{cases}$$

We set the testing of hypothesis $$H_{0} : \theta = 1 \ vs \ H_{1} : \theta = 2$$. When the critical region $$X \geq 0.4$$, the value of probability of type-II error is:

A

0.25

B

0.30

C

0.24

D

0.20