Size and power of a test on a four-point variable

Let $X$ be a random variable whose probability mass functions $f(x|H_0)$ (under the null hypothesis $H_0$) and $f(x|H_1)$ (under the alternative hypothesis $H_1$) are given by

$$\begin{array}{c|cccc}X=x&0&1&2&3\\\hline f(x|H_0)&0.4&0.3&0.2&0.1\\f(x|H_1)&0.1&0.2&0.3&0.4\end{array}$$

For testing the null hypothesis $H_0:X\sim f(x|H_0)$ against the alternative hypothesis $H_1:X\sim f(x|H_1)$, consider the test given by: Reject $H_0$ if $X>\frac32$. If $\alpha=$ size of the test and $\beta=$ power of the test, then