Statistical Inference — power of most powerful test

For testing $H_0 : f(x) = \begin{cases} \frac{x}{2}; & 0 < x < 2 \ 0; & \text{otherwise} \end{cases}$ against $H_1 : f(x) = \begin{cases} \frac{3x^2}{8}; & 0 < x < 2 \ 0; & \text{otherwise} \end{cases}$ based on a single observation, the size of the test was chosen to be $\alpha = 0\cdot 36$. Which one of the following statements is/are correct? I. The power of most powerful test of given size is $0\cdot 488$. II. The specified test is unbiased. Select the answer using the code given below: